If he's worried about losing it's audience over taking a short break every now and then it's because he's either paranoic or doing something wrong.
It's a new market, he probably quit his job (or stopped looking) once he started making money out of it and now, like everyone else, he has debts and whatnot, so he can't exactly stop.
And the thing about the internet self-publish/broadcast/produce age is that you are on your own basically.
He is basically doing a tv show without the structure of a tv station and no tv crew. When you get to the point where this is your job, then streaming stops being like, pick a game, set up a webcam and go for it.
You need to maintain the technical structure of stable internet connections, good image quality, good sound, good capturing, etc.; then you have to be the entertainer, be there on camera, be happy (or angry or whatever your gimmick is) all the time. Gotta give them shout-outs.
Basically, it's a small tv show that you are doing completely alone and without any fallback. You take a month off and lose viewers, you just lost money; there's no one to "cover" for you, no company to keep paying you while on vacation. Basically every worker right that we take for granted basically don't exist when you find yourself self employed as a twitch streamer. If it's a hobby, then whatever, but if the electrical bill depends on you having some steady thousands of paying subscribers per month, everything gets a new weight.
So yeah, you become paranoid, to put it mildly. People get paranoid and do drugs when they have relatively stable jobs with companies that give them vacations and health insurance. I can only imagine the kind of pression a streamer falls into when he becomes insecure about his viewership, for whatever reason.