Presumption of innocence
Apply the principle of presumption of innocence, as every respectable legal system does. Why, after a copyright claim, do you immediately take down videos or parts of the content or even ban the streames, thus automatically siding with the claimant? Youtube and other services doing this does not make it in any way right. Consider first giving the streamers a reasonable period to defend themselves, and only following on any action after the streamer has been heard and did not make a compelling case for themselves. This will have the benefit of not making you look like so much of a menacing inscrutable machine that can ruin people on a whim.
It’s crazy how this is not required in DMCA law