...this is a remarkably bad idea. Imagine if you were suddenly forced to play someone else's characters instead of your own. That's what you just proposed.
Well, it's not the same; GM characters don't "belong" to the GM. But, your point is fair.
I personally, don't see a problem with "terms." Again, as long as the terms are short enough for a medium- to long-term player to be able to see a few shifts happen, and as long as there is overlap in terms, and a private GM subforum, I think it would work fine. The argument that it would create inconsistency or a massive storm of complaints is strange, given that, from many players' perspective, there is already inconsistency and, now, over 30 pages of complaint.
Furthermore, again, a limited-term for a GM reduces the commitment required from them, and would allow them to also have a character on Dwilight occasionally (I am assuming, of course, the Zuma GM doesn't have a character on Dwilight. If he/she does... yeah, IMHO, that would be very not okay).