Could be both. There's plenty of times there's domestic violence and police are called and then the person quickly flips, maybe out of fear, and doesn't want the police involved and tries to protect their partner. But since they said domestic disturbance, rather than claiming domestic violence, when an NBA player was involved, I'm maybe a bit too not trusting of the police on this one and think that they're exaggerating it.
Also, I take her saying "Don't turn him over" as him being tased and knocked to the ground, possibly on his side or on his face, and she didn't want them flipping him over under the fear that he may have been seriously injured... and moving him over without paramedics involved could possibly had made any neck/back injury worse.