Why does the Fuse iterator adapter not work as expected?

I'm experimenting with the Fuse iterator adapter and am getting unexpected results (Playground link):

fn main() {
    let mut i1 = (1..3).scan(1, |_, x| {
        if x < 2 { None } else { Some(x) }
    });
    println!("{:?}", i1.next());
    println!("{:?}", i1.next());
    println!("{:?}", i1.next());
    println!("");

    let mut i2 = (1..3).scan(1, |_, x| {
        if x < 2 { None } else { Some(x) }
    }).fuse();
    println!("{:?}", i2.next());
    println!("{:?}", i2.next()); // This should print None
    println!("{:?}", i2.next());
    println!("");
}

Which prints:

None
Some(2)
None

None
Some(2)
None

Iterator i1 is returning what I expect. It returns None, then Some(2), then None. i2 is the same iterator adapted with fuse(). Fuse should make it return None after the first None, and since the first value it returns is None that should be the only value it returns. However, it behaves the same as i1. What am I doing wrong?