Well, what would you prefer, folks?
1) A candid telling of the Carole/Neil story which would show neither in a good light one way or another.
2) Or Silence on the subject.

I favour the latter.

From all I have heard they both were part of a NY song manufacturing factory, that in itself produced somewhat derivative fare within one person's work as well as within the factory.

Indeed in a book I once had, entitled "How to be a Successful Songwriter", there was a recurrent theme that went along the lines "Take a song, write new lyrics to it, then write a different tune around the new lyrics". And Neil Sedaka was one one contributor saying just that. (A chapter per songwriter - and most really recognisable names). His early work did have a sameyness quotient. Pop songs do in any given era.

And didn't the BBC documentary with Neil (a classical Juliard Alumnus) have him explaining some of his songs? Curiously I recall him mentioning working with lyricists almost exclusively (if not totally).

Jerry Goffin was a trained chemist according to Carole King.