Well, it was also said that nobody wanted a Venom movie without spider-man and look what happened..
I believe there are plenty of ways to make them fight if they wanted to, they mentioned Eddie being fired from the Daily Globe in New York, maybe Spiderman was involved in that like in the comics. Aldo Eddie is not a villain in the movie but he's still a lethal protector, meaning he kills people, and even if they are bad ppl im sure Spider-man is not gonna be fine with that and migh try to stop it.
Personally, if Sony is gonna bring spiderman into their Sonyverse i rather they team-up against a common threat like Carnage instead of fighting each other.