It’s strange to keep citing https://flutterplasma.dev/ as a sample app. Don’t get me wrong, it’s a nifty and well-written little demo, but it doesn’t demonstrate anything you’d actually need in an app . As a sample for a game engine it would make sense.
As a Flutter developer, I don't think Flutter will ever be a great choice for a lot of text-heavy things that people generally consider "web apps" (just going through my tabs now - GitHub, StackOverflow, reddit, Gmail, Wikipedia).
But it will really shine for "traditional" desktop-type applications, but delivered via web (think Rive, Figma, Filmora, etc). I think that's why they're focusing on rendering performance.
That being said, Figma have done an amazing job with WebAssembly (and I guess they rolled their own UI framework?), so it's not like Flutter is the be-all and end-all.