That might be closer but, I'm not sure. We aren't legally bound to Emmaus Bible College. We don't take orders from there, it doesn't own our real estate, we aren't contractually obligated to send it a percentage of our 'revenues,' etc., etc.
If Emmaus were to do anything like that, we could simply turn away and move on. Conversely, the local Episcopalians have to jump through a LOT of hoops to sever ties to their Sodomite bishop.