A church is the organization of members that agree upon the principles laid out in the statements of faith and practice of that body. When that body gathers and there are two or more that are believers, the promise of Christ is that He is in their midst.
As it applies to the BB, there is a gathering on the forums allowed by agreement to the statements and principles laid out of the faith and practice of the members. As such, when two or more gather to this place, it is important to understand Christ is in the midst.
Just as He was while walking with the disciples, He would have heard all manner of discussions and arguments and at times would engage with them in teachable moments. There are times when on the BB teachable moments do arise and edification can be found through the Scriptures and the practical application of them.
So, yes, even on the BB, there is time when one perhaps should approach a brother both in private and then dependent upon the circumstances, even take it to the body of moderators and administrators for a judgment upon the situation.
However, because this is a "semi-public" place, that is the public can sit in silence and look at what is going on, it is not for the public consumption to sniff at the "air of dirty laundry." Meaning, why would anyone hang out dirty clothes? Wash up, clean up, then in the public domain come cleansed to "air out" the solution.