First off, define your definition of " the rut"
Between most guys, there are different times, phases.
The" rut" can be from mid October to late dec. But some things never change I.M.O, and that is the time Most adult does are ready to breed. I think the dates from Nov 12- 22 are a hard time to see/ kill an older buck.
This will and always has been a hot topic.
Some of us old timers can remember years when blizzards have shut down deer hunting in early Nov.
Leave things as is!
PG, regular hunting cannot/ will not affect genetics in a wild herd! Poop