You can always try both ways and see which the birds seem the happiest with?
I leave Merlins cage open at night, means he goes to bed when he wants (usually 10:30 on the dot) and means he can come out when he wants in the morning too, usually he flies straight down to our bed for cuddles with me and my other half before he goes work.
I'd love to, but we move in 2 months (as of right now), 1500 miles away. And I only brought Sugar home a week and a half ago. I'm thinking about the stand in the bedroom for after we move, I'm leaving everything the way it is until then. I could try it then and see which I like more, which she seems happiest with, but with all the changes, I think it'll be hard to tell for a while.
Oh, ouch, that's quite a move!
I think you're right with keeping everything the same, poor Sugar might have a heart attack if you move her around 24/7
Good luck with the move, I think stand training will work out great for her, if she enjoys just sitting on top of her cage then I don't see any harm in the stand.