I think I will still have to disagree with you somewhat on this. Rape culture in media is, as you say, a “full-on problem.” But problematic means the same thing. It’s basically the academic term for “fucked up.”
Even when media has really REALLY problematic aspects, I don’t think media should be off limits to enjoy, so long as we are ready to make no excuses for it and criticize it for the fucked up stuff it does. That’s a really essential balance that is critical in the process towards achieving change in the media.