Hi Rast

it is my understanding thru the years that the queen won't go back to the hive. In the original hive box, those queen cells will be hatching within a couple of days or sooner. If the queen goes back to the hive, the new hatching queens would kill her and the bees know that.
If a swarm goes into a swarm catcher box, there is a good chance that the digs won't be just right for them, then they take the queen and abscond that swarm catching box, and find another place to live.
That is the purpose of the queen excluder! It is to anchor the queen inside the swarm catching box. The bees that came with her won't fly away leaving her behind. In my experience it takes about 3-4 days of anchoring the queen inside the swarm box and the bees get busy drawing wax, the queen starts to lay. Hopefully your swarm box will have at least 1-2 frames of drawn wax for her to start laying. Once she starts laying the colony will stay put.