Idk to what extent you can call him "bourgeoisie". He's rich, for sure, but he's not profiting off of anyone else's labor and twitch/amazon is directly profiting off of his.

He doesn't own a factory or a business with employees working for him. Unlike most workers, he has more agency over his own work but he still has to run a certain minimum amount of advertisements as dictated by the platform owners, for example.

I don't know enough theory to know where exactly the line is or if a certain amount of wealth just makes you bourgeois anyway, but yeah, I don't think it's that clear cut with our favorite gorillion-dollar-gucci-mansion-socialist.