The argument could actually be made to the contrary. It almost makes more sense to host the game at a school not involved in the tournament, as it eliminates home court advantage. I like that we've seen some districts move to colleges to make it neutral site.
With how much preparation goes into hosting a region tournament, it doesn't make sense to move it last minute either. Have to get people to work the gate, concessions, cleaning, hospitality room, etc.
I don't mind the way it is currently done as long as the facilities are equipped to handle the crowd. I do wish there were more neutral site gyms available in the area to house the region tournaments especially. I'm not a big fan of a potentially lower seeded team getting home court throughout district and/or region, just by luck of the draw.
