Any queen reared as a result of human interference with eggs from the brood nes may be suspect, IMO. In 50+ years of beekeeping I still can't tell a good egg from a bad egg. My bet is that the bees are much more in tune with what constitutes a good egg over a bad egg than I am. Given a quantity of eggs from which to choose to rear a queen from I will put my money on the expertise of the bees over that of the human under any given set of conditions.
It is true that the best queens come from hives with lots of bees, large brood nests, in the midst of a honey flow, but that is the time of maximum egg production by the queen so the ratio of superior eggs to poor eggs still gives a large selection. As the time of year and weather conditions change so does the size of the brood chamber and, hence, the ratio of superior eggs to good and poor eggs decreases. Come drought or dearth, or new queenn lost on mating flights, conditions a the selection of acceptable eggs from which to rear a replacement queen can range from difficult to non-existant, even for the bees. But they will still try.
But, the premise remains that the bees, under any given set of circumstances, will choose a better candidate egg than a human can, except but sheer dumb luck.
As a result I will accept a queen the bees rear at their own initiative when they choose to rear one with the qualifier that that queen will be replaced once conditions for optimum egg selection exist, and that selection will come from the brood nest of my best , by all measureable or desirable, standards.
When I start my queen rearing in my queen castles, I choose to prime it with brood frames from by best 2 or 3 hives. This keeps the divirsity of genetics alive with in the hive and will usually reult in quality candidates from each of the source hives.
From the queen castle I can then pull new queens, add a few frames of bees from another hive and have an established nuc or hive with little effort. Since I use a 4 section 12 frame queen castle (13 when used as a single hive) It is easy to pull the individual sections out of the castle and place in nucs for finishing as hives.
In other words, all of my queens a reared using queens reared from eggs choosen by the bees themsleves and I have nice calm hives albit of a muttified heritage.