Mr Red said:
    "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".

Well, what we should have got is choice number 3!
And, that choice has Carole telling the public how massively important Neil was to her musical development and her drive to be a commercial success, and simply leave out the bit where they cease being friends.
They, of course, went to same school. He became the school's resident rock/pop piano player/songwriter. They would get together - even though she was very much "the kid" - and rehearse together. They would work out the chords and arrangements to the latest pop songs.
He was first to get a songwriting contract, and the first to get a recording contract.
She saw him have a number one hit record when his composition "Stupid Cupid" was recorded by Connie Francis,
    He was a huge influence on her both musically and commercially.
    In fact, it would be fair to say that without Neil Sedaka, there may not have been a Carole King.