More than likely they will either ball and kill the queen in the cage or they will just ignore her and let her starve. And she will never be released from her cage.
The reason is since they have drawn out queen cells they will not consider themselves queenless. Prior to introducing your queen cage check if they have any queen cells and destroy them.
You could have introduced the new queen in an hour or so, it don’t take long for them to figure out that Mom is gone.
The Busy Bee teaches two lessons: One is not to be idle and the other is not to get stung.