Until SNW used the exact clip of him saying that as archive footage.

That never happened. Discovery was the only show that used a scene from The Cage but it wasn’t that clip. If Memory Serves did a “last time on Star Trek Discovery” segment that used clips from that episode. It gave backstory on Talos and Pike’s relationship with Vina. The clip of Pike making a sexist comment was not used, and has never been used in any other show to date.