Wyo,I do not think "overstabilized" is quite the best term.I think perfectly stabilized is best.It can't get too stable.Bullets can get over spun,and become less stable.While I do not know all the factors,in some cases centrifugal force becomes high enough to cause the bullet to fail.Push some 40 gr Hornet bullets hot out of your swift and they won't make it to the target.Could be ,before the point of blowing up,there is a range of rpm where the bullet just distorts a bit.
Thats my guess.
OP,something to consider;in most cases,the next twist tighter than the 1 in 12 is the 1 in 9.While a 1 in 9 will stabilize 69 gr bullets just fine,69 and 75 and 77 gr bullets,on up are nearly all match bullets.I am not saying they won't kill a coyote,but generally they might not be quick and humane about it.Those bullets generally can't be counted on to expand or come unglued to make a quick killing wound channel.
In the expanding varmint type bullets,I just don't know of any past 60 gr.
I did some PD's with 77 gr Bergers the other day.Box said "Excellent for varmints".Maybe on a coyote but could have been better on PDs.Not such a good choice.
I'm suggesting a 60 gr varmint bullet is about as heavy as it gets.Your 1 in 12 is not giving up that much,enjoy it!!Good luck.