Mr. Ben, you have directed us to a much more complicated question regarding multiple queens. That begs the question of feral queens and hive take over, consider if you will the following:
Due to the fact that I raise uniquely colored queens, Cordovan, I can distinguish between my queens and local queens: either feral or domestic. For simplicity, I will refer to both feral or domestic as a common queen.
Upon inspections in Spring or early summer I have discovered a common queen in a hive almost every single year at a ratio of 1:10. Stated another way, my carefully chosen Cordovan queen disappears and is replaced by a common queen in one of ten requeened hives. Supersedure is what most beeks would guess, however the time frame is not always possible. Another possible explanation is a common queen was present in the hive requeened.
Although one cannot exclude error, rather one must also consider the careful removal of a queen, then 2 days later replacing with a Cordovan, then 5 days later while looking for eggs, BINGO: a common queen is present and laying. This unique issue has presented itself several times causing me to question the appearance of a feral queen hive take over. This issue is compounded by the fact most queens are commonly colored so a beek would never know if there was a feral takeover.
I am not equipped to study such a question of feral queen take over, I can only speculate. Certainly africian queens are known for this issue. Cape honeybee queen/workerbee specialize in hive takeover and destruction, I might add. But this is specific to South Africa and off subject.
Blessings