Well I personally believe this from a certain perspective.
Rom 5:12; Therefore, just as through one man sin entered into the world, and death through sin, and so death spread to all men, because all sinned—
Rom 5:19; For as through the one man’s disobedience the many were made sinners, even so through the obedience of the One the many will be made righteous.
Psa 51:5; For I was born a sinner— yes, from the moment my mother conceived me.
Exod 20:5; You must not bow down to them or worship them, for I, the Lord your God, am a jealous God who will not tolerate your affection for any other gods. I lay the sins of the parents upon their children; the entire family is affected—even children in the third and fourth generations of those who reject me.
The part about "powerless to..." I believe we in ourselves are powerless, but I believe we can do all things through Him who strengthens me.
We have been made more than conquerors it's true, we don't have to be a slave to sin any longer. But still, it's a choice we make daily.
But the translation you quote of Psalms 51:5 (For
I was born a sinner— yes,
from the moment my mother conceived me"), is an obliteration of that verse. Not at all what it says.
I have said before that we must interpret David consistent to his thought in the verse which follows to complete his thought: Psalms 51:6 “Behold, thou desirest truth in the inward parts: and in the hidden part thou shalt make me to know wisdom.” (KJV)
Notice the way Today's New International Version obliterates both of those verses: Psalms 51:5-6 “Surely I was sinful at birth, sinful from the time my mother conceived me. Yet you desired faithfulness even in the womb; you taught me wisdom in that secret place.”
Today's New International version would have you believe that while yet in your mother's womb you not only were already committing sin but were being taught God's wisdom at the same time. Look up and ponder all of the occurrences of the words, "ignorance" and "ignorant" and "ignorantly". You will see what causes sin. What is ignorance to you? Is it not a lack of knowledge and wisdom? Remember what Hosea said? Hosea 4:6 (Compare:
And the further one pushes this the more they figure out all the evidence the Bible furnishes is against the idea of being a sinner right in the womb before birth.
Who wants you to believe you were born already a sinner? 1 John 3:8 “He that committeth sin is of the devil; for the devil sinneth from the beginning. For this purpose the Son of God was manifested, that he might destroy the works of the devil.”
Satan wants you to think you were born already his child.
There is no such thing as sin before it is committed: 1 John 3:4 “Whosoever committeth sin transgresseth also the law: for sin is the transgression of the law.”
Not you nor anyone can commit sin before they are even born, else the following could not be true: Romans 9:11 “(For the children being not yet born, neither having done any good or evil, that the purpose of God according to election might stand, not of works, but of him that calleth

”
Sin was in the world by corruption of mankind's knowledge and not in any man before that man sinned. The problem is that it has such a hold on this world that all men sin very quickly after being born into it, having a corrupted source of knowledge and wisdom setting the path of their feet.
Where is sin before the law? Romans 5:13 “(For until the law
sin was in the world: but sin is not imputed when there is no law.” That means among men, in the world.
Why was sin in the world? Acts 17:30 "And the times of this ignorance God winked at; but now commandeth all men every where to repent". Sin was in the world by man's ignorance, (his lack of pure knowledge and true wisdom). And now just as then,
Ephesians 4:18 “Having the understanding darkened, being alienated from the life of God through the ignorance that is in them, because of the blindness of their heart”
This idea of being sinners in our flesh and blood mother's womb is without any scriptural support for all the evidence of scripture is the opposite. What makes it possibly confusing is that they viewed Jerusalem's womb as a place of being shapen like Paul speaks of at Galatians 1:15 and 1 Corinthians 15:8 and Galatians 4:19-31
In so far as Romans 5:12 and Romans 5:19, it only takes one man who was meant to teach his children to corrupt his own knowledge and so be only able to teach his children corruption.
That is how God lays the sin of the parents on their children. He does not take the children away from them, instead letting them teach their children.
And that is because there is much man learns from that which can help man see his error via his children.
It was very difficult for me also when God first began teaching me this. And he did so directly. I did not learn any of it through any other human. I won't go into the details however as most would simply think I was lying out of pride and besides that I am not particularly proud of how it came about. It amazes me how great God's love is that he would even consider me as foolish as I was and as many people I hurt of a self-righteous zeal. But he crushed my spirit and then took personal care to build me back up his way. In return to my inquires as to why he would do such a thing I received from him two words in reply. The first was because he could. The second was 1 Corinthians 1:26-31.
So I expect you will have a hard time with this just as I did but I also know the truth of it is so powerful that your old idea will eventually fall as did mine. But then that is because thus far I have only been giving out teaspoons concerning it.
There is much more that God stored up in me but it must be delivered in a patient manner that helps the picture best unfold to you as easy as possible.
When I ask you to go reconsider sections of scripture please take it seriously as I am delivering it to you with the patience that God himself delivered it to me.
The fact that I am associated with no named religion of this earth takes away man's ability to shut me down by bias of religious affiliation.
That is why God is using me. He is giving you every chance and you all were making it difficult by the feuding and bias between your religions.
I am a member of the free church above and it only: Hebrews 12:22-29
What did Jesus say was responsible for the sins of the Pharisees? That they genetically inherited sin in their flesh and blood birth mother's womb? Or that they learned sin? John 8:38 "I speak that which I have seen with my Father: and ye do that which ye have seen with your father."
Children naturally desire to please the desire of their father which they have learned from him, thus, John 8:39 "They answered and said unto him, Abraham is our father. Jesus saith unto them, If ye were Abraham's children, ye would do the works of Abraham."
And that is why Jesus told them, John 8:44-45 "Ye are of your father the devil, and the lusts of your father ye will do. He was a murderer from the beginning, and abode not in the truth, because there is no truth in him. When he speaketh a lie, he speaketh of his own: for he is a liar, and the father of it. And because I tell you the truth, ye believe me not."
Now, John said, 1 John 3:8 "He that committeth sin is of the devil; for the devil sinneth from the beginning. For this purpose the Son of God was manifested, that he might destroy the works of the devil."
Since many claim we were all sinners in our natural flesh and blood birth mother's womb, does that then mean we were all children of the devil when we were in our natural flesh and blood birth mother's womb?
The more one inspects that idea the more it loses credibility.
Genesis 5:1 "This is the book of the generations of Adam. In the day that God created man, in the likeness of God made he him"
It is not only interesting that Genesis 5:1 completely disproves the literal 24 hour creative day belief, but it leaves little room for the genetically inherited sin unless we believe God has sin in him, also.