It's not luck. It's a mathematical equation based on precision, accuracy, lethality (which used to be measured by the military as retained muzzle energy, now measured better as wound effect), range, range judging, wind and wind judging, etc.
That complex equation suggests that going much beyond 30, maybe 40, yards/metres with an air gun is questionable, for anyone.
Terry D, who is a very highly skilled shot, proven by his FT record, has a long-standing challenge to the "I kill everything at 55 yards" gang to go head-to-head on a range, with the results written up in AGW. None of them has ever taken on the challenge.
For me, that's case closed. 12 is fine, at sensible ranges. Sensible meaning when you can reliably hit the (brain) kill zone.