Queens lay 3 types of eggs: Worker, Drone and Queen.
Laying of the queen egg is triggered by the size of the queen cell. Yet, most queen rearing techniques use worker eggs.
I remember several beekeepers telling me swarm and suoerceedure cells produce the best queens. Now, we know why.
"
More research is needed, but the key observation is that queens lay bigger eggs in queen cups than they do in worker cells. These develop into bigger queens. Furthermore, these bigger queens 'perform' better in terms of brood production, and the trait appears to be inherited."
https://theapiarist.org/bigger-queens-better-queens-part-1/
https://theapiarist.org/bigger-queens-better-queens-part-2/
https://theapiarist.org/bigger-queens-better-queens-part-3/
This implies queens produced using worker eggs don't lay/live as long as those from queen eggs.
I assume this has important implications for commercially bred queens