Failed to vectorize the for_each iteration with min function

I tried this code:

#[inline]
fn min_update(dst: &mut u32, lhs: u32){
    if *dst > lhs{
        *dst = lhs;
    }
}

#[inline]
fn min(mut dst: u32, lhs: u32) -> u32 {
    min_update(&mut dst, lhs);
    dst
}

pub fn vectorize_fail(lhs: &[u32], dst: &mut u32)  {
    lhs.iter().for_each(|&x|{
        min_update(dst, x);
    });

}

pub fn vectorize(lhs: &[u32], dst: &mut u32){
    lhs.iter().for_each(|&x|{
        *dst = min(*dst, x);
    });
}

I expected to see this happen: The vectorize_fail function will get vectorized

Instead, this happened: The auto-vectorization is not performed, see godbolt for details

Meta

rustc --version --verbose:

1.77.0

<backtrace>

Reproduce the difference between vectorize_fail and vectorize using the Rust snippet and the linked Godbolt example. Compare the generated output for both functions and investigate why the min_update form is not auto-vectorized. Done means the failing form is vectorized consistently with the equivalent min form.