I hunt whitetail deer once a year and even that much meat is barely worth the effort.
Most hunters I’ve met are decent people who care about animals and the environment, but then you have some real oddballs at the other end of the spectrum. I don’t know if those types have respect for much of anything, themselves included. I don’t know all the small mammals available in Austria, but if they’re much like squirrels or rabbits in NA, they aren’t all that exciting and tasty to be violating federal laws over.
The owls didn’t leave or die off because they’ve lost their role, they’ve been eliminated by this same type of thoughtlessness. You will have a better overall environment, including for hunting, if you take care of your ecosystem, mainly by leaving it the heck alone.
It’d make a great spirit animal.