If this word has (at least) 10 OED-approved meanings, then there are probably situations where it will create uncertainty. The "latte incident" appears to be one of them.
There are 34 major and 94 minor senses of
get in the
OED, so nearly every use of the word has lots of ambiguity. But there's nothing particularly special about
get in this respect: most common English words have multiple meanings. Ambiguity is inherent in the language, and coping with ambiguity is a mark of fluency in the language.
So I'm puzzled by the comments (from Tim Hall originally and later from T42—though possibly repudiated in the latter case) where posters claimed to be having trouble with the use of
get in the sentence "can I get a latte?" Either these comments are confessing to a surprising level of disfluency in English, or they are being insincere in their claim not to understand this meaning of the word
get. (I guess there's a third possibility: they really do understand the meaning of the word, but they object to some other aspect of the word—perhaps its register, or its association with American usage—but they have trouble explaining that, and light on the lexical ambiguity as a way out of the difficulty. But I don't know: as I say, I'm puzzled.)
I should be careful about coming down too hard here: difficulty with lexical ambiguity resolution could be due to language impairment or autism spectrum disorder. So I apologise if that's the case for anyone posting here.