So I think your idea is great - essentially alternative front ends on demand!
The first concern is privacy - if I used this would I have to trust some remote server with my most private data (i.e. auth tokens)? It wouldn't be a deal breaker but I guess I personally wouldn't use it on, say, a banking website or gmail.
I also wonder about distribution. If there was an incredibly quick way to switch between commonly requested front-ends via 1-2 clicks (or keyboard shortcut), that would be awesome. E.g. you could analyse the modifications users ask for, sensibly add them into a single prompt, and build that front-end.
E.g. say users on youtube constantly request removal of the 'Explore more topics' section, pay per view sections, games content etc, then perhaps that collection of preferences could be made into a front end that can be accessed in one click from the extension (or keyboard shortcut). Perhaps allow the top-three most popular front-ends for that site just a click away. That way, a user of a website can build their own custom front end if they want (which can take a lot of work), but they don't have to if others have already requested it dozens of times.