Hee, hee.
This is a fun thread. ;-))

I don't think Jack minds this tune too much except the change to C natural in the second part.
;-))

I don't know about paying the going rate but I'm very sure that Nigel would have obtained permission from the composer and ensured it would be OK to include the tune in his collection.

As I recall, it was very strict in the early days of The ALP and one of the reasons for focusing on "teaching by ear" was as much to do with copyright issues as being the so called "traditional way" to do things.
I even remember some tutors learning tunes themselves off by heart "from the dots" before teaching it to the students by ear. "Hand written" music was also another good trick.
;-)