I am very open to being wrong about the ingredients in a martini, so I checked. I can’t find any reference to any ingredient other than the two mentioned, plus maybe a garnish if desired. Ice water is never listed, so it sounds like you’re having nonstandard martinis, which is totally fine but a little unfair to the bartender if it’s some test. I was thinking that some water does make it into the martini as an artifact of the catalyst (ice) used to make it cold, but then you seem to reference actively diluting it with straight iced water. I think we’re probably just referencing different drinks, I am specifically referencing a “classic martini” from the original post.

I get the sense that this is just a hyper specific hobby of yours, so won’t begrudge you being exacting to the standards you’ve created. Just like some people really, really get off on leather shoes or suits or whatever, hobbies are fun.