This must surely have been some kind of a “custom request” cut by JAM?
Reason is, the first time I ever heard it, my immediate reaction was that it was a “homage” (…as it were..)
to one of the cuts in the 1968/9 Radio Two re-sing of the Pepper-Tanner “Easy Listening” package.
Right down to those authentic tinkly piano bits…
Did someone at 1980s Radio Two want to have one of their old favourites “re-created” perhaps?