My not at all a lawyer reading is that streaming video games is almost always a classic example of fair use and thus not copyright infringement in the first place. Fair use is evaluated as a balancing act of 4 factors, and streaming is very favorable under 3 of them:
It's transformative, adding something new to the original work and not superseding it at all (factor 1), it reproduces a small fraction of the whole of the work - only renders of the final work not the models behind it, none of the code, only the fraction of the artwork that is interacted with and even then only in one of many possible renderings of it (factor 3), it doesn't compete with the original work in the market place (factor 4).
The only thing that really ways against it is that the original work was very artistic in nature (not something like a recording of JFK getting shot, mainly of interest for it's factual content... actual example from a court case).