To be honest, I've been (slowly) working towards my own native GUI library, in C. It's a big undertaking, but one saving grace is that --- at least on my part --- I don't need the full featureset of Qt or similar.
My plan for the portability issue is to flip the script --- make it a native library that can compile to the web (using actual DOM/HTML elements there, not canvas/WebGL/WGPU). And on Android/iOS/etc, I can already do native anyway.
Though I should add that a native look is not a goal in my case (quite a few libraries already go for that, go use those! --- and some, like Windows, don't really have a native look), which also means that I don't have to use native widgets on e.g. Android. The main reason for using DOM on the web is to be able to provide for a more "web-like" experience, to get e.g. text selection working properly, as well as IME, easier debuggability, and accessibility (an explicit goal, though not a short-term one --- in part due to a lack of testers). Though it wouldn't be too much of a stretch to allow either canvas or DOM on the web at that point --- by treating the web the same as a native platform in terms of displaying the widgets.
It's more about native performance, low memory use, and easy integration without a scripting engine inbetween --- with a decent API.
I am a bit on the fence between an immediate-mode vs retained-mode API. I'll probably do a semi-hybrid, where it's immediate-y but with a way to explicitly provide "keys" (kind of like Flutter, I think?).