I’ve quit chrome for a while now but... I’m pretty sure they have your real name as long as you signed in once from the same hw and browser footprint. Is real name that important for them? I think everyone’s digital signature is already out there
You might recoup more in productivity from less surfing of sites like hn than the minutiae of gains from chromium to Firefox. Hard to believe chrome in 2019 can give discernible amounts of productivity gain over Firefox, unless it were a very very specific extension exclusive to chrome.