Hey RB, sorry for the delayed response.
I can think of several reasons Kobe is hated in some quarters.
First, he plays for Lakers. It's that simple. The Lakers fall in to the same category as the Yankees and Cowboys for some people.
Second, (and this is something I have a problem with) he worked his way to the Lakers before he had played a minute in the NBA. Yes, Jerry West wanted him and it's testiment to his skills as a GM that he got him. It's also the case that Kobe and his people made it known that they felt Charlotte and perhaps some other places were not worthy as media markets for him. That's a disagreeable attitude for a vet so for a teenager to display it is doubly annoying.
Third, because he followed in the wake of KG he didn't have the curiosity factor. People might have felt more inclined to like him if he had been a trailblazer who helped turn around a downtrodden franchise like Garnett. He didn't so he came off as a follower who had it easier because he went to a powerhouse.
The fourth point relates to number 3. Kobe is the son of an NBA player and from get go has had that advantage as well as the advantage of playing for a winning organization. Jordan had his "cut from the varsity" back story to market although of course that was really overplayed. Neverthless it worked as a marketing gimmick. The privilege of being the son of an NBA player has worked against Bryant. Kobe could never claim underdog status.
Another layer of hatred was added with the allegations of rape. There were some people who liked Kobe because he didn't present a thug image. I think this was especially true of older white people. That went out the window with the infidelity.
There's more but I gotta run.