Take shoot and hang -er on the end: the one that shoots. English lets that one be a person, a thing, or even a whole kind of game. So when you meet shooter, the useful question is not what does it mean but what is being shot here — a bullet, a ball, an arrow, or a camera shutter. The sentence around it almost always answers that.
From the word’s history
Wiktionary records shooter as Old English sċēotere, by way of Middle English schoter — that is, shoot plus -er. The one that shoots was the shape of the word from the start, and every modern use still runs along that line.
Wiktionary 記載 shooter 來自古英文 sċēotere，經中古英文 schoter，構造就是 shoot 加上 -er。也就是說，「射的那個」從一開始就是這個字的形狀。今天不管是人、是槍、是遊戲，都還照著這條線走。
Wiktionary (kaikki extract, source_ref kaikki:3f6f69a190036ae4:1157268343): "From Middle English schoter... from Old English sċēotere (shooter), equivalent to shoot + -er."
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