First, it's creepy that a company I paid money to for a game is actively scraping the internet trying to associate my Blizzard-Activision account/identity with other online identities. What if they get it wrong?
Second, there's nothing preventing them from taking action based on subjective aspects. What if the employee reviewing my "behavior" is racist and bans me because they figure out I'm black? Or because I posted a political video they didn't agree with and deemed "toxic"? What happens if a Blizzard employee decides to dox someone as a form of punishment?
There's no way they have enough properly trained and ethical support people to have any real checks and balances to prevent abuse.
Sure, initially I would hope (for their sake) that they're only considering in-game or game-related posts/content, but once these tools exist it's only a matter of time before they are abused, or they see how far they can push things until there's a financial backlash.