I remember having to deal with xhtml, html 4, Netscape, Opera, Internet Explorer, etc. a world of pain.
Even by 2009, things were already massively improved (with the exception of IE of course). WhatWg was founded in 2004 and that's when work started on HTML5. That's before Chrome was a thing. That didn't happen until 2008 and would have not been possible without decent specifications provided by WhatWg. Apple and Mozilla were working together on that one.
Chrome happened because of HTML 5; not the other way around.
FWIW, that mirrors my experience entirely. i primarily develop with FF and test with Chrome/Chromium as a sanity check. Safari, once the app is out the wild, is always the outlier (and i don't use it, so can't fix its shortcomings except via trial and error).
Eh, that's sure one way to describe the situation. Another one being that it's only Chrome left. Sure, W3C completely and utterly fucked up, but I thought we were beyond regurgitating 2009ish "HTML5 rocks" propaganda and genesis myths.