He would be like Grawp, he would make more people like it I asked a non potterhead just now and she said she would love harry potter, he would ave to be an important character to get more reads, about as important as baby yoda in mandolorian.
Based on the social status of Shrek's world vs the Wizarding World... I think Shrek would probably be some kind of half-ogre/half-wizard hybrid. I don't really get the impression he would like Harry right off the bat, if anything I think he'd probably just see Harry as everything he never was and would just be kind of jealous of him. He might end up being friends with Ron, though...
