Yes, Firefox and Chrome are open source, but they're atypical of open source projects in that (a) the amount of implementation effort required to make the kind of changes under discussion here are much larger than for typical open-source projects and (b) institutional users and knowledgeable (or simply well-advised) individual users of Firefox and Chrome won't use your fork unless you have a credible story about how you can protect them from 0days. I know of no fork of either Firefox or Chrome that has ever had a credible story, but I've spent only a couple of hours looking.
Google has their own replacement for X11 which they use in some Chromebooks, which reduces the probability that they'll throw in behind Wayland.
Not every OS install needs a mainstream browser (in-vehicle entertainment systems do not seem to: they're heavy users of Wayland) but if your OS install does, and you're waiting for Wayland (more precisely, software that uses the Wayland protocol) to replace xorg or X11, you might be waiting a long time.
"mainstream": provides a decent experience on most popular web sites including e-commerce sites.