The statue: David Bowie / Phillip Jeffries
It's Nevada. A statue of a western man shooting a gun is not unusual. As I've said before, perhaps it will trigger memories for him of his past using a gun, or perhaps of Harry. He also seemed to look at the shoes, so maybe also he'll recall he had different shoes before.
He could be trying to figure out why the "lawman" is wearing loafers........
It's not so much it 'looks like' David Bowie - it's more of a... lack of 'typical man with a gun' pose. It's languid & graceful - as if it's there as something aesthetic rather than macho.
The only way I can explain it is that it immediately jarred with me for what it was - and that's the closest I can come to a reason.