Home from Guitar Center. I want to "jam" with one of my students' daddies. What is a professional to do?

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I have a piano student named Althea. Althea is a famous Grateful Dead song. The lyrics are written by Robert Hunter, Jerry Garcia's main lyricist. They evoke (invoke?) Greek mythology, Shakespeare, and every day life. Some say that Hunter may have written the lyrics in part to warn Garcia about his (Garcia's) bad habits. My student's father loves the Grateful Dead, perhaps the best rock 'n roll band in American history. So do I. I have been listening to the song Althea, and figuring out the chords, as well as Jerry Garcia's leads. I am almost to the point where I could play it. I am half tempted to ask the dad how well he knows the song, and whether he would like a "free" guitar lesson. But I want to be professional and teach his daughter piano. What would you do in my situation? I was the best singer in a rock band a few years ago. I sang the Grateful Dead's Franklin's Tower, but was frustrated to have the song butchered by a "learning " guitarist (it was his band) who sounded about as much like Jerry Garcia as I sound like (the great) Joni Mitchell. I'll attach a good 1989 version of Althea, not our butchered version of Franklin's Tower.