No, it's not. It's about as tyrannical as a chef deciding what meals she serves in her own restaurant. While we're on the topic of Western civilization, people deciding what they do with their own property in their private businesses is actually the basis of Western civilization, in contrast to the apparently now mainstream take that they ought to be compelled to host something they don't want to host.

A tyrant is someone who puts dissidents up against the wall and puts a bullet in their head, not a streaming platform deciding what they want to stream.