I kinda had that same reaction but held back and just laughed.Felt a similar Deadpool-And-Wolverine-related pain about a month ago when Madonna's Like a Prayer was played at an event and I was asked, "Isn't this song from Deadpool and Wolverine?"
Funny thing is, I'm around the same age as your friend's daughter.
Age is not an excuse.
You're absolutely right, specially with youtube and spotify at everyone's fingertips younger people should be exposed to more classic media than ever.