Here's a quote from the site you cherry picked

Some people may choose to go vegan, for some it may be because they do not believe in farmed animal practices and animal exploitation, for others it may be due to environmental concerns. Whatever the reason The Vegan Society is here to support everyone on their vegan journey.

Gee, looks like the vegan society also recognizes some people become vegan because of climate change... Or maybe you are going to redefine more terms so you can win your argument.

Or maybe you are pulling a definition not commonly accepted by the community or English speakers. No, that can't be right, you are obviously smarter than I am. After all, you are a rational person that'd never engage in strawman attacks.

Dude, what are you on about. Plenty of vegans I know go vegan because it's better for the environment. That's a big part of why I'm vegetarian. Why make it such an "us and them" dilemma? They're just people, even if you don't ascribe to their choices. It seems like you're more concerned about being right than being correct.