No, both the FSF and rms have repeatedly said that charging for software (or content) is perfectly fine. His issue is with the licensing and DRM.

Here is one of the FSF's sites about DRM: https://www.defectivebydesign.org/

Personally I do use Netflix and I don't think that the company or its users are unethical, but ultimately if there were a reasonably priced service that offered DRM-free content and didn't rely on closed-source plugins and apps, I would switch in a heartbeat.