You realize that universities outside the US and UK only have a very nondescript moniker or some obscure title that would not help you identify it in the slightest, right?
I could say “Back in TU Heidelberg” and you would look like a personified questionmark.
Then say “at my university”. I think people will understand that you don’t own a university, and you are referring to the one that you attended. Again, it’s purely a subjective issue. I get that I’m in the minority, but I still hate the term.
Are you really asking all but a few countries on the planet to stop using the word they’ve been using for ages because being exposed to it bothers you personally?
I’m actually interested in how this plays out.