I know a guy who went to Harvard law school.
He took just about every opportunity to remind anyone in earshot of the fact, and as often as possible.
“We did this at Hahvud ...” blah. He got a reputation as an insufferable snob, a major twit and general pita.
It didn’t seem too smart to me.
The ones that do harp on it really stand out, possibly because so many don’t. Especially the further you get from Cambridge.