So, buzzer WRONG.
Quite arrogant after you just constructed a faulty comparison.
If I say my name is Doo doo head, in a public park, and someone happens to overhear it - they can do with that information whatever they want. Same thing.
That's absolutely not the same thing. Overhearing something that is in the background is fundamentally different from actively recording everything going on in a public space. You film yourself or some performance in a park and someone happens to be in the background? No problem. You build a system to identify everyone in the park and collect recordings of their conversations? Absolutely a problem, depending on the jurisdiction. The intent of the recording(s) and the reasonable expectations of the people recorded are factored in in many jurisdictions, and being in public doesn't automatically entail consent to being recorded.
See for example https://www.freedomforum.org/recording-in-public/
(And just to clarify: I am not arguing against your explanation of Twitch's TOS, only against the bad comparison you brought.)
True.
Although in Germany for example it can also be an issue when recording. If you have a security camera pointed at a public space (that can include the sidewalk infront of your house), passersby can sue you to take it down and potentially get you fined. Even pretending to constantly record such an area can yield that result.