Doesn't that defeat the point of moving it to OTBT? Or does it show up in Active Convos but not in a google search if it's moved there?
I know OTBT isn't hidden as such and anybody on the site can access it but I would assume anyone asking for a thread to be moved to OTBT is under the impression that the terms would be the same for a thread moved there as one started there.
Would it be worth making that clearer in the message at the start of the topic?