Ironically, not only were they able to sneak in The Cage (which never aired in Star Trek’s broadcast run), a really great episode in its own right, the rest of the story is a pretty awesome follow-up to the story with Captain Pike and uses some clever editing to accomplish its ending.
One part of the cage really jumped out at me last time I watched it, always glossed over it, but this time it stuck out. Early on pike gets a message from an ensign, a woman ensign, and goes "That's one thing I will never get used to...a woman on the bridge!" And No.1 just glares at him
Trek certainly mirrors the time it was written in.