I'm not talking about the sandboxed browser being able to "clear your hard drive", etc. I'm talking about users having no real agency when it comes to controlling the presentation of websites. (Sure, it's code running on your computer. You're free to attach a debugger to step thru native code that runs a VM that runs a nested VM that's ultimately running the code you'd actually like to influence. Let me know how that goes for you.)
Have you seen JSLinux[1]?
I think blocking ads is a game you can never win. If you are able to block ads on some websites today, it is just because the site owners allow you to do so (they could easily prevent you from doing so). Ads technologies can evolve to a point when you as a human can not distinguish between ads and the rest of the content.
If the embedded browser uses the host's HTTP implementation, then you can filter and edit content there.
If it implements HTTP itself on top of raw sockets, then you can intercept traffic on socket level (although you'd need to MITM any SSL connection).
So, on something like iOS, it could be game over (but I'm also curious what Apple is going to do with wasm there, given that it goes contrary to their strategy of being the gatekeeper for all code running on the platform). But not for the rest.
Have you not worked in tech long? One of my 'favourite' things about one tech stack I once worked on was that someone decided to implement a file-system inside the a database that is stored on the file system. Even better, the database itself effectively just reimplements the features of a database.
So we have a file-system storing a database that exposes a completely different database that holds a file system.
Every webpage pays for the traffic in some way, and everybody tries to save web traffic as much as possible (optimizing images, videos, minifying JS, CSS ...). It makes no sense to expect, that websites would turn the opposite way just for fun.
I would be very glad, if you can emulate a computer in a browser, so you can e.g. use VirtualBox or VMWare comfortably in your browser. Still, it will be sandboxed (it can not turn off your computer, or clear your hard drive, etc.).
I think the web is the most open, independent, secure and versatile platform today. And I hope it will become even better and more powerful in the future.