The weird thing is that I basically always had an alternate "I Wanna Be The Jumper" version - I think to like, show to people who didn't know what Jumper was, and thus wouldn't know it was supposed to be in reference to Jumper 1?? Then eventually I realized that was really backwards and made it "Jumper" for good. I also think I made small changes to my other old games when I went back and changed my name in them.
I think people would generally understand it's not supposed to be the cat calling you "dude," but yeah, it's better to be safe. Although if you wanted to keep the same line but ruin the purity in another way, you could add a New Cat next to the "dude, dude!" cat who says "i know, i know!"