Only time I ever heard this on the radio was on the Demento show in the early 70’s. Then he would play Fish Heads or Please, Please Me by Will Robinson! Now it’s all on YouTube and its real, not just in your head like you thought for the last 30 or so years.
I remember it being played on the radio when it first came out in 1966. We had a 45 of it around the house for years, which is how I knew that the B side was the song played backward. Used to listen to Dr. Demento every week for a few years in the mid-70s, too, but I think that show’s long gone.