Likewise, the only handwriting for better impression I have seen was in stuff like love letter. It could possibly done also in super high formal situation (diplomacy, school diploma) or some such, but otherwise it was not a thing.
Handwritten pages always signify special care, indeed as you say that’s why you see that in diplomas and such. There was a time when I kept hand written letters going for my close college friends, on good stationary. I think we are just in different situations/places/demographics.
[edit] also I kept my job application rejections (paper mail). These were very instructive as they showed a pattern of rote rejection that made me less discouraged.
Relevant for this conversation, dot matrix printouts were considered "cheap", and people were warned not to submit dot-matrix printouts for things like job applications, formal correspondence, etc.
If you were a kid and you tried to hand in a word processed/printed essay in school, even into the early '90s sometimes, you'd get pushback that's very similar to the AI pushback of today. "How do I know YOU wrote it?", "The computer is doing the work for you". They'd force you to rewrite it, properly, in pen.