I'll share my own story
My daughter is 19. She's never watched any Trek. She knows I love it so she went to see the movie with me. She LOVED it!! We saw it 3 times together.
Then I purchased the remastered TOS. She started watching that over Christmas break. She LOVES it. We'd watch 3 in a row on some days. She's looking forward to spring break and more TOS.
Intelligent people enjoy the old show after seeing the new movie. The remasters are excellent. They see the pacing of the show as film, not television. And they see the content as philosophical and character based.
Young people get this. The film did wonders for the original series. There's been a rebirth in fandom.