You don’t care about the environment. You care about the environment in your backyard. Otherwise you would not import rare earths and minerals from China (which Europe does).
Individual EUers might care about the environment. It’s pretty hard to personally avoid any dirty imported stuff as you just don’t know where it all ends up. Though I guess overall voting patterns might back up your argument
... you know when you put it that way, it would not surprise me if lobbyists dovetailed the 'cant do stuff in US/EU because of env regs' with the various types of Union busting the US likes to do and for some in the EU it would be the perfect scapegoat for...
Pretty sure consumers would still buy all the nice downstream products even if they damaged their own backyards.
Evidence: Long history of us doing exactly that.
Valuing convenience, modern products etc does not mean one "doesn't care" about the negative externalities, just like going out to eat at a nice restaurant doesn't mean someone "doesn't care" about saving money.