I get your point, and i may be in the same case as you in a few years (my projector is brand new).
But that doesn't really disprove my point : when the legal streaming service is working fine, then it does have an immediate effect on pirated content consumption.
I thought that not being able to have access to all the content in the world would be a no-go, but i'm surprising myself preferring to watch legal content directly in two taps of the remote than having to search for the torrentz, the subtitles, download it, plug the computer to my projector, etc.
This came as a surprise to me.