Laverne gets excited about seeing the Spinners in concert, saying she loved them ever since she was really young. But the Spinners didn't start recording until 1961 (when Laverne would be an adult), when they had a minor Top 40 hit. They had another minor Top 40 hit in 1965, but it wouldn't be until the 1970s when they truly broke through. And so although the Spinners were indeed recording during the 60s, it would be highly unlikely for any radio station to have a major contest / concert featuring a still-largely unknown, not-yet-commercially successful group.