At that age, moving them into a space that is new to all of them, should be no problem at all.
Not the same as merging 2 groups of 3 week old chicks....That makes sense to me!
What if there was an age difference? If year old hens and 5-7 week old pullets were put in a new house at the same time would that work?
....it might work, as it removes the territoriality aspect, but I wouldn't count on it.