Why do you have to use copyrighted background music for streaming of a game?
Nobody wants to worry about this stuff.
As long as the purpose of the stream is not just streaming music i don't see the problem however I'm certain the MPAA and RIAA would not agree.
Beside if you always play the usual 200 songs you listen to when are you going to find new songs to listen to.
Listening to music is a group activity a lot of the times and you find new songs by doing it.
There's only 3 ways to find new songs and 2 of them suck
1. Listening to top hits in hopes that a few match your taste
2. Using recommendation algorithms on Spotify and other streaming sites
3. And the on that give you the best results hanging out with like minded people in real life or on the internet and seeing what their listening to.
So the answer to the question "Why do you have to use copyrighted background music for streaming of a game" is "Because playing a game with the volume at zero kind of sucks".
edit: And obviously that's not the entirety of the concern; there are definitely some streamers who play essentially radio music (or anime music or whatever) over the soundtrack on broadcast. I agree that stuff like that doesn't necessarily need to happen. But using a broad brush to say "No broadcasting copyright music on twitchtube" is both not a good idea, and exactly what people are worried will happen.
why do you expect to be able to broadcast copyrighted music for your own enrichment without paying the copyright holder?