It's a tricky situation with no obvious solutions. The Pale Moon dev's plea to slow down isn't going to work; devs want these new features and they're not going to stop using them just because a smaller browser developer with no significant market share can't keep up.
There is, perhaps, the beginnings of a solution with the Extensible Web Manifesto[1], which aims to shift the focus of browsers from implementation of many high-level features to instead focus on smaller, simpler low-level features which high-level features can then be built on top of. (Though ironically, web components are a part of this movement.) CSS Houdini[2] is one such feature which seems like it might be relevant in this specific situation (though whether it's helpful I have no idea; in the short term I suspect it might just translate to a lot more work).