Netflix has been trying to introduce interactive content to their platform for years. The latest attempt is Minecraft: Story Mode [0]. Netflix's architecture is designed around streaming static video files, on platforms without great latency guarantees. There can be gaps of up to a second when loading the next video file. Interactive UI and choicepoints are quite limited.

Streaming live and streaming offline media require very different infrastructure.

[0] https://www.netflix.com/title/80227995

There was also that choose-your-own-adventure Black Mirror thing.

They don't have the game dev experience or the library. Seems obvious. They can stream the games for the same reason Netflix can't buy a single DVD and stream that movie to everyone on the planet.