Too true. They would almost certainly swarm. Poster is asking a question that could simply get the correct answer - NO!
No real difference than clipped queen getting lost and bees returning to the hive at an initial swarm. All it buys is a few days in time. They will be off. Think about it. Even more bees than when the queen was removed (especially if the poster means just the queen, were in swarm mode, so still in swarm mode. Inevitable that they would go. All the same, leaving one cell, if you have no backup, is a good way to achieve queenlessness.
There lies the problem with a simplistic question. The poster won't get the answer they want to see.