You could play your Switch on a train, while streaming on Twitch, and it still wouldn’t be infringement.
You could tell people where they could download a Switch emulator and the roms for the game you were playing (provided you weren’t hosting them yourself), and you still wouldn’t be infringing copyright. (The host of that emulator and the roms would be, and you would violate Twitch’s TOS, but not copyright law)
I would argue that your followers would not be violating copyright in downloading that emulator and rom; the violator is the uploader, not the downloader.
I would argue that you could then invite your followers to play with you, and you could play on the train, and stream your gameplay on twitch, and still not be violating copyright.
You could play your Switch on a train, while streaming on Twitch, and it still wouldn’t be infringement.
You could tell people where they could download a Switch emulator and the roms for the game you were playing (provided you weren’t hosting them yourself), and you still wouldn’t be infringing copyright. (The host of that emulator and the roms would be, and you would violate Twitch’s TOS, but not copyright law)
I would argue that your followers would not be violating copyright in downloading that emulator and rom; the violator is the uploader, not the downloader.
I would argue that you could then invite your followers to play with you, and you could play on the train, and stream your gameplay on twitch, and still not be violating copyright.