South Korea sent a fully-kitted out player for the Olympic shooting. Turkey sent an 51 yr old guy with no specialized lenses, eye cover or ear protection and got the silver medal
South Korea’s record-breaking Olympic shooter -Kim Yeji.
I know what you said intuitively sounds like it makes sense, but I'd encourage you to try a shooting sport in person if you're really interested in the subject.
Hunting and precision shooting is different. Not to mention air powered guns are very different from gunpowder based firearms.
Look, I'm not the right person you should be arguing this with - there isn't anything else I can say to convince you, except to say that the international world of shooting has accepted that corrective glasses don't confer an unfair advantage in competition. If you're really interested, find your local gun club, see if they have any air pistol events, try it out, ask the club director about the rules.
Improving your vision means being able to differentiate details better. Magnification means that you can make something look bigger.
Having a prescription glasses that adds detail but not magnification means that the small target will still look just as small to you as it would to a person with perfectly healthy vision. How do you think this gives them an advantage over someone with normal vision?