I get what you're saying, and I don't mean to be sanctimonious. But there are lots of aspects in life where I trade annoyance for doing what I think is right in the larger scheme of things. I recycle aluminum cans even when it would be easier to chuck them in the nearest bin. I used to toss cigarette butts out the window instead of having them stink up the car's ashtray.
Yeah, my examples might seem a bit dramatic compared to one's choice of browser. Look at them as analogies and not comparable badness.
For me, it's worth whatever edge cases annoy me to know that I'm not working for Google for free. Their incentives don't align with mine. For the most part, Mozilla's do.
If Mozilla falls, then we're right back to where we were in 2001. A single company dictating the standards of the web. That horrifies me.