Yep, I was about to make the same comment. While they share the the same root "conserve," they absolutely don't share the same meaning. I've met plenty of liberal conservationists, as well as some conservative conservationists. Folks who love and enjoy nature as it is want to conserve and protect it from the encroachment of people and industry. A lot of the conservative conservationists I know are hunters that at least talk about sustainability, unlike other conservatives I'm forced to be around. I don't understand how they can deal with the cognitive dissonance of wanting to protect wildlife while supporting the party of climate change denial, but I suppose that people are complex animals.
OP's shower thought is reductive and depends on a semantic misunderstanding. To be fair to OP, that's how many shower thoughts are.