Yes, and I bought a license that allows me to play them on any machine that has Steam installed. Whether it’s a machine I bought, or one that I rent from AWS or Google. Why is renting a PC from Nvidea any different?
Feel free to supply evidence to the contrary though. I would be happy to be wrong.
Since I don’t see any additional agreements when I buy/play the game on steam it seems unlikely there is one.
It seems the steam license agreement only allows you to make non-commercial use of paid games. I can imagine that Nvidia just didn’t want to go into the battle of whether pre-installing steam content that (other) users have already paid for constitutes a violation of that provision.