These are not peer to peer connections. These people would send a single stream to twitch and then twitch, a known streaming service, would stream it to their viewers.
In theory someone might rent a server and do the streaming directly to his viewers, without using a known platform. This would be a legitimate false positive as you describe. But this would be so expensive I doubt anyone would do it when the alternative is a free platform with built in community and monetisation tools.
Plenty of people stream commentary to matches without showing the game itself, so that would flag as guilty too