Ah, I'm sorry, I misunderstood what you meant. You're talking about screen reader compatibility only.
I was interested in hearing about browsers that do what Lynx does, but are better. Unfortunately, the browsers you mention are graphical, and so are not Lynx replacements.
From my perspective there is very little difference. The interface I get out of Firefox is exposed as if it were a text-based browser for lack of a better analogy (it's not quite the same, but the differences are subtle and not obvious at first glance). But I also get the ability to do all the non-text-based-browser things with that interface instead of being limited to what a text-based browser supports, and those things can be made accessible to me. But the really big advantage is that my skills at driving Firefox also work with Chrome, IE, and Edge, and any web view on the platform. Plus there is a large common subset that is shared with all the desktop apps as well.
I'm not the right person if you're looking for someone who shares enthusiasm for text-based browsers, in other words. In general I would like it if people would stop using blindness as a point in their arguments that they're necessary because it shows a massive misunderstanding of what the world of accessibility is like.
I was interested in hearing about browsers that do what Lynx does, but are better. Unfortunately, the browsers you mention are graphical, and so are not Lynx replacements.