Wouldn't a narcissist fret a lot about their public image, even what's left of it after their death? I mean, the way this man brags about winning at golf, having every other country "kissing [his] ass" asking for deals after the tariffs, scoring high marks on his intelligence dementia tests, etc, it's quite clear he cares a lot about being seen as a powerful and talented person.
I don't know much about narcissism other than the popular definition so of course I could be completely wrong.