It's not uncontrollable, you'd just rather have their money than ban them.
Start with crowd-sourcing via reports, then pass it over to customer service once a critical mass has been achieved. Make sure one person can't easily create a new account after being banned. This really isn't a new problem, tons of companies of all sizes have tackled it with varying success.
By the way, streamers are one of the most high impact users of the game. They are also one of the most unfairly targeted by report systems. This problem is extensively studied and very tricky.
You can be silent and ruin hundreds of games. Distinguishing that from genuinely bad players is not really easy.
That’s why Riot’s level of progress over the problem is so remarkable.