Yeah I also saw them as the "kid" versions not the offspring of the original tom and jerry. I mean who is the mom? mammy two shoes?
I don't think tom and jerry fighting as kids would cause any real issue in canon, unless, I'm pretty sure most of the shorts break canon between each other but I haven't really watched tom and jerry since I was like 7.
The other "kids" shows didn't break canon too much either, I guess the flintstones did unless you say they forgot about those events since they were so young. Felix the cat as a kid? I doubt that breaks canon, scooby? not really since scooby goes hollywood is not canon and that's the only contradiction. They get a lot of hate but as a kid I loved the babyfication of those old cartoons. Tiny Toons was a fav of mine as well.