You could do a lot of things. Rust had a gc and it was removed so they have already explored this area and are very unlikely to do so again unless there is a big need for it that libraries cannot solve. Which I have not seen anyone that actually uses the language a lot see the need for.
Not like how async was talked about - that required a lot if discussion and tests in libraries before it was added to the language. GC does not have anywhere near as many people pushing for it, the only noise I see is people on the outside thinking it would be nice with no details on how it might work in the language.
Just because your bowser is not caching does not mean something else between you and the server is not caching as well.