I'm 35 years old and have never used a urinal in my life because I value privacy, so I understand. I don't think banning Doc from Twitch, putting a halt to his career, is the appropriate course of action here.
If anybody in those bathrooms wants to take legal action, it should be handled accordingly. I'd still put most of the blame on the person filming. Had I been filming, I'd have used better judgement and waited outside of the bathroom. It's common sense.
At the end of the day it's up to Twitch what is ok on their platform and what isn't, and nobody else's opinion is really worth anything on this.
I certainly know if I was a higher up in Twitch I would be super cautious about one of our biggest streamers showing a kid pissing and would have done the same thing.
Whether they'll regret it/miss the views and bring him back is another question.
His career is the last thing to worry about though, the very nature of being a Twitch streamer or YouTuber is that your star can disappear at any moment and this is one of countless reasons for that. Someone could come along who does your shtick better and everyone could stop caring about you at the drop of a hat, that's how the game goes and you don't stream for a long, stable career unless you're an idiot.
He's made millions from Twitch and could continue doing the same via YouTube or plenty of other ways if Twitch was a no go for good, his career and livelihood are not at risk in any sense. And once again, even if it is, Twitch has every right to do that.