RE: Are they mutually exclusive?
I honestly think if you're a good hunter... Luck plays only an occasional roll and maybe not always a good one. Normally it his little to do with the outcome.
If you're a wannabee.... you count and pray on luck.
If you have NO clue.... lucks about all you got.
Shooting skill is a small part of the picture. The best shots are probably seldom the best hunters.... but they sure can maximize their opportunities.