If the trap out is done properly, and there are many who don't, the queen at some point according to Iddee on beesource, does leave, but whether you'll be there when she does, that's another story all together.
Don't count on her leaving though and going into the bait hive, this possibility is very hit and miss.
Now, the chances of getting her on a trap out go way up on young hives, like as in swarms that have just set up shop.
...JP