Should you care? I think yes. I don't want the internet to be at the whims of a single entity. It's like authoritarianism vs democracy or having a monopolistic market vs a competitive one. What's best for the tech ecosystem isn't something the average developer thinks or cares about, though. When I show my co-workers how our front-end breaks when using Firefox, they often mistake my concern of portability to be favoritism towards Firefox. I'd use other browsers, but it would just make it harder to convince them to take the bugs seriously.
Edit: if any frontend/web developers today reads this, please do use Firefox for development. I'll tell you why:
I can only remember a single time that I wrote something in Firefox that didn't also work in the latest IE, Chrome and Edge.
Web developers I work with who use Chrome however seems to constantly have to go back and fix stuff that doesn't work anywhere but Chrome, exactly like web developers who developed in Frontpage and IE had to.
If you don't want to spend time with regressions from QA and you don't want to look unprofessional, develop on Firefox.
The happy feeling you get from doing something good for the web is a bonus.
It seems to me a lot of frontend developers has a hard time wrapping their head around the fact that there exist millions of users who prefer other browsers than Chrome :-/
Full disclosure: I sometimes work on frontend myself, I have talked to such developers.