Then let's not - death to irregular HTML and let the era of lean browsers begin !
Yes, I know, Martian Headsets (https://www.joelonsoftware.com/2008/03/17/martian-headsets/) - but considering how much of a contemporary web browser is about supporting irregular markup and other grandfathered hacks, deliberately scoping them out is an exciting approach to a possible non-RFC793 compliant future. Won't fly with mass market, but worth exploring by people who don't care about the mass market - and the marketing will come later, once someone with no money and a device to ship figures out how fast such browser can be with ridiculously low resources !
If rendering is usable but not pixel-perfect, then maybe that's fine. Especially when what's being rendered is in categories like "visual fluff" and "needed for advertising".
Who's going to support a browser compatible with stuff from 2011? There are companies like Ekioh that make niche solutions for embedded stuff, but there's nothing open source.
So what? Interested people can have multiple browsers installed.
Not even Firefox is supported by all sites, in which case I dust off Chromium I keep installed for just such situations.
I know it isn't a pretty thing to hear, but someone in this comment section has to say it.