The thing is, we don't really have words for those products. We could call water/fat emulsions that tend to be white and are produced from nut fats something other than milk I suppose but what would that be? More importantly an extremely common ingredient that is similarly an oil-in-water emulsion has been called milk for millenia, coconut milk (because it looks like it and serves similar purposes in cooking). What words means changes over the years after all and industry terms are far more political than scientific.
What is a burger? It comes from the term "Hamburg Steak" which is a ground meat patty preparation that supposedly originated in Hamburg and was popularized by German expatriates. Can we call meat patties that are dissimilar to the original preparation burgers (do you eat your burger medium rare btw)? I suppose we could just call them patties which would be much more accurate. Heck most of the burgers people eat in the world have more soy than meat anyway. And plant based patties served in a similar manner have been common for as long if not longer than meat-based ones; some form of falafel or ground chickpea patties has existed in one form or the other in the Mediterranean and the Levant well before anyone lived in Hamburg.
I get what you are saying and I get the instinct to be irritated in such cases but it's something you should reconsider. Our brains are lazy that way and don't like things being redefined.