An async closure may implement `FnMut`/`Fn` if it has no self-borrows
There's no reason that async closures may not implement `FnMut` or `Fn` if they don't actually borrow anything with the closure's env lifetime. Specifically, #123660 made it so that we don't always need to borrow captures from the closure's env.
See the doc comment on `should_reborrow_from_env_of_parent_coroutine_closure`:
c00957a3e2/compiler/rustc_hir_typeck/src/upvar.rs (L1777-L1823)
If there are no such borrows, then we are free to implement `FnMut` and `Fn` as permitted by our closure's inferred `ClosureKind`.
As far as I can tell, this change makes `async || {}` work in precisely the set of places they used to work before #120361.
Fixes#125247.
r? oli-obk
44c7a2dbff