Same song, definitely! But done in a "tack" style piano and not horns. Harold and Richard provided the backing vocals while Agnes handled the lead. I think one of the huge takeaways was, at the end, Karen saying "that's my mom," and Richard saying "that's my dad!"
For the record, Karen is actually singing the melody along with Agnes during the partner bit at the end (panned hard-right) while Harold and Richard sing their melody (panned opposite/hard-right). I had a digital transfer made off of one of the acetates that were cut in the studio.