In a Reddit thread started by u/Ethan_But_, many Cobra Kai fans noted how Anthony didn't have much character development throughout the first two seasons of the show. They even pointed out how he was sent away to summer camp for much of season 2, theorizing that perhaps he would undergo a serious change while away at camp and come back as a completely different person, one who would be at odds with his father's philosophy in season 3.
Redditor u/ItalianLion2000 suggested Anthony would have some serious character development in season 3, and that idea all came back to one critical line he had at the beginning of season 2. When Daniel tries to get Anthony to join Miyagi-Do instead of going away to camp, Anthony asks if it's still just "chores," or if they practice actual karate. That line suggested Anthony could be interested in practicing karate, but he just doesn't want to do what he views as a bunch of pointless chores. The Reddit user then theorized that John Kreese, who's still lurking around the Cobra Kai dojo, would lure Anthony in.