`redundant_closure` false positive when interacting with `FnMut` closures

Summary

This is related to https://github.com/rust-lang/rust-clippy/issues/8073 but I believe it is sufficiently different:

Lint Name

redundant_closure

Reproducer

I tried this code:

#![allow(unused)]
fn minimal<L>(mut logic: L)
where
    L: FnMut(()),
{
    let _: Box<dyn FnMut()> = Box::new(move || {
        Vec::new().into_iter().map(|d| logic(d));
    });
}

I saw this happen:

> it compiled

Clippy suggests this closure is a false positive, but if you take its suggestion, it fails to compile:

cannot move out of `logic`, a captured variable in an `FnMut` closure

because you are moving logic into the box, instead of moving a closure that references logic into it

playground: https://play.rust-lang.org/?version=stable&mode=debug&edition=2021&gist=7d085db100dcb0f863e3e6f72dd3523a

Version

rustc 1.57

Additional Labels

No response

Start with the redundant_closure lint and reproduce the behavior using the Rust 1.57 example or its linked Playground. Compare Clippy's suggested rewrite with the original FnMut closure and confirm that the corrected behavior avoids the reported compile failure while retaining the lint's intended cases.