Paul declared shame upon churches that let their members sue each other in public courts. I can only think of one non-Christian cult (that a lot of Christians believe are Christians) that doesn't allow that, but will provide peers to settle disputes. Only apostates are put on trial before the whole congregation. The point is that it is a "shame on us" for allowing our church leaders to evade such matters as divorce, leaving that to outside counselors, attorneys and judges. Of course, some matters are required by law to be processed and posted publicly. I don't believe the passage requires individuals to follow that procedure if the congregation doesn't take part by not putting such a system in place while satisfying the laws of the land. Also, there are some obvious modern situations that involve other parties who have rights.
Jim