Pretty sure it is wasting time activity if we do not like it but there are thousands of people who like to watch it for some reasons.
Some people watch it because there will be giveaway by the streamer and some other watch it because they purely like to watch it.
I myself do not like to watch live stream (any content) but I do like to watch some clips of nice winning from the streamers (I dont care whether they use real money or not).
In this case, Drake is an official ambassador of Stake so if Twitch will ban him then I believe there will be communication between Stake and Drake to find the best alternative streaming platform.
Eddie said today in his stream that Drake will make a new stream soon, in the coming weeks. It will be after the 18th october because if it was in the 10 coming days it would be already scheduled on a specific date. So it will be necessarily outside Twitch. Eddie didn't say where it will be, but we can assume it will be on Dlive, since it seems to be his favorite stream platform.
It would really be one of the list.
YouTube Gaming.
Facebook Gaming.
Periscope.
Smashcast.
UStream.
Mixer.
Mirrativ.
DLive.
then for sure they had find another place for those streams.