you still havent explained how barrel temp would be a factor during a hunting situation ... "How is 17hmr not as deadly on small game"? ive seen coyotes get dropped, lynx also with 17hmr they didnt take a single step. also have seen grouse and rabbits have their heads popped right off. either you haven't spent much time with one in the field or you aren't making good shots. i don't think i've ever heard anyone say 17hmr is not extremely effective its definitely a better option for coyotes than 22lr in terms of rimfire options. but that wasnt the question the op was asking
So have you killed any coyotes/lynx/bobcats with .22lr? i have, and have been present for a coyote getting shot inside 100yds with a 22lr. it works well if you understand the limits of the .22lr and make a good shot into the vitals just like any other caliber for that matter. dead is dead.... im sure 17h is a great round and super effective, but that wasn't the OP's question.
the question was wether it was possible to kill a coyote with 22lr at 100yds. the answer seems to be "Absolutely yes" according to people who have actually done it.
put it this way 22lr at a 100yds could easily kill a 180lb human. so why would it be less effective on a 30-40 lb dog? the 18-20lb lynx i killed with 22lr this past winter at 50 yds had the round enter and exit. it dropped and died instantly. plenty of power from the .22 for the job. in fact i would change my ammo next time to a soft lead projectile to get more expansion next time, or some sort of segmented hollow point,