Emergency Queens

This article indicates that bees do not always raise emergency queens from eggs containing a high commonality with their own genetics.

https://www.beeculture.com/catch-the-buzz-the-majority-of-emergency-queens-are-raised-from-sub-families-not-as-previously-suspect-supersisters/

To me this is not so surprising.  Everyone knows the queens mates with multiple drones.  Also research has indicated the sperm do not readily mix.  Therefore at any given time the nurse bees that would be raising an emergency queen probably have difficulty finding eggs with both the right genetics and also of the right age (0 to 1 days after hatching) to raise into a new queen.