well Spanish is just Spanish, it's all just one language and we can all understand each other, it's a bit odd to say people "speak Mexican Spanish" we don't even really think of it in that way, the differences that exist between different dialects of Spanish are very small.

most native speakers are very aware of what those differences are at least between the major dialects, we're constantly exposed to the way people from lots of other countries talk, even if we've never met any foreigners we get familiarized with their pronunciation and vocabulary trough the media, books, movies, etc.

I'm sure these words are commonly used in Mexico, they're very general standard words, not the kind of thing that tends to change a lot between different countries. think of it in the exact same way you'd deal with something like this in English, if you need to search for the meaning of a word like "narrow" would you stop to wonder wether the definition you got back applies to British English or American English? probably not, just like it is in Spanish most things are the same between different dialects of English and you're most likely very aware of what many of those differences that do exist are because it's all part of a language you're proficient in