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(noob question) Is it fine to use Tor on an unsafe network?
Depends what you mean by “fine”. Tor will still guarantee anonymity through the three-hop model, and no they cannot see the contents of your traffic. But it really depends on your risk tolerance. The real problem in this scenario is traffic analysis.
I’m not sure how the video stream packets look in that scenario but they may still be able to infer through protocol or density that some video is streaming and block that. Again, without knowing what is in the stream.
But you have to be cautious about other attackers in the network targeting your device. Those risks can circumvent all sorts of safety you might think you have.