Having had the earlier discussion about listening, I know how old you were. You were hearing latter-day Wolfman, oldies-format Wolfman---and yes, he did do that. But that's not what made him a star.
Pre-American Graffiti, the show was there to bring you Wolf. The music was incidental---proved many times by XERB's schizoid music policy (a few months of gutbucket R&B and the next thing you know, he's playing Bobby Sherman records). Wolf's best ratings in L.A. were his year at KDAY, playing AOR on AM. Again, it wasn't about the music. It's hard to believe for people who only experienced Wolfman Jack after American Graffiti and the Midnight Special, but Wolf was dangerous. That's what made him a star.