To be honest, even when going to the original Pizzeria Uno (or Due) I’ll probably still call it “Uno’s” ‘cause it’s a weird part of the Chicago dialect. We do the same thing for the grocery store Jewel-Osco, calling it “da Jewels”
Fellow Chicagoan here. It's funny you say that. My wife calls Jewel-Osco "Jewels" lol. I am just starting to realize that not everyone talks this way haha.