I guess this is probably a more interesting take on it because we know Norman is a bad influence, Peter can't completely trust him, and it has a finite end date (when Norman goes full supervillain).
I just don't want someone in Peter's ear constantly telling him what to do...
I love Oracle but this has become a tiresome trope elsewhere. Especially with guys like Spider-Man and The Flash. Discovering how to overcome a villain through scientific discovery was part of their silver age charm. You don't just want someone acting like an AI assistant dumping the answers on them.