Can you download streams on Twitch?

It is allowed to download streams from others on Twitch to watch them later. The streams are saved under Videos on the respective channel. If so, how can I download it on the phone?

I don't see what should speak against it.

Private copies are generally allowed as long as you do not circumvent copy protection.

I don't know that this is not allowed. If you don't publish it, nobody knows.

You should rather ask the streamer beforehand whether you can broadcast.

Well, he doesn't want to spread it.