There is a cynical side of me that says these mosdos are all privately owned. Nobody tells Mr rechnitz how to run his business and he shouldn’t tell others how to run theirs. Unless of course they ask for a capital investment (donation) them he has a right to make suggestions.
The community yeshiva doesn’t exist and these private yeshivas have no achrayus to anyone except their tuition paying parents and those who they solicit for money.
But, I’m trying not to be cynical.