I don't have MoveAnything, no, and the only other addon that would effect my frames is Pitbull (and the raid/party modules are either deleted or disabled inside pitbull), but I tried disabling that. It doesn't even seem to do it *every* time I login, which is the weird part. It's random, I'd say about 75% of the time.
Reflux doesn't even seem to work with VuhDo profiles, and it's the only other thing that can move anything. Should mention it's also not emulating any profiles for any addons.
If it helps, my addon list.