My point is that the word "milk" has been used to describe any pearly-white liquid for centuries**, so the argument that it only means the milk of a mammal is bogus. You're welcome personally to insist that it must only mean the latter, but it has no historical support (and certainly isn't connected to some vegetarian/vegan deception).***
To the former -- you may be "by no means convinc[ed]" that the human contribution to climate change is significant and indisputable, but it's a position at odds with the evidence. The claim that the climate "always has, always will" change is similarly bogus, not because it's wrong but because it's a distraction. Humanity is perfectly capable of shaping the world around it and disrupting the natural cycle.
**The earliest reference I can find easily is from a 1390s recipe book used by the head cooks of Richard II, which regularly mentions "mlyke of Almandes" in its instructions for making Blancmange and several other recipes:
https://gutenberg.org/cache/epub/8102/pg8102.html (see also: milk of magnesia; or latex, which derives from the Spanish for "milk")
*** Indeed, it's only recently that the cows'/sheep's/goats' milk industries have lobbied for an official position that only animal milk products can be called "milk".