I started using Firefox ages ago because of firebug. I’ve been using it as my primary browser ever since. I’ve never had an issue with it (other than the occasional web site that is designed to only work with Chrome). Maybe I don’t know what I’m missing since I haven’t given Chrome a try (other than loading the occasional website that only works on Chrome). Maybe Chrome is better than Firefox, but I don’t have any complaints about Firefox (though I do have complaints about bad website developers).
I ran into an interesting situation where I was building a Conway implementation and getting 60fps in Firefox / 10fps in Chrome. Turned out that Chrome had absolutely horrible performance with attempts to access out-of-bounds array indexes, where Firefox had some early fail fasts in place.
So anecdata, but I wouldn’t rely on Chrome automatically working well if Firefox does.
I keep having to "forget about this site" for YouTube after watching (admittedly many) videos - every 2 months or so. The tell-tale sign is that videos stutter outrageously. It is surprisingly consistent - stutters / freezes happening, forget about site, problem solved.
I would be surprised if this is solely due to Firefox btw; I trust YT-owner Google about as far as I can toss the lot of them.
