I'm inclined to agree, kittybear, although I surmise that Neil's record company likely picks the songs they think they have best chance of servicing to radio. I very much doubt that Neil chooses the songs (although he possibly gets a right of veto). You'd be amazed at how little say the artist actually gets in much of this.
Even going back to Neil's first solo album (She Will Have Her Way was the first UK single) I wasn't immediately taken by it. The song still feels forced to me. I adore Wherever You Are and it has a special place in my affection, but Anytime was THE single off One Nil.
I'd suggest that Neil's record companies have always struggled marketing his songs. It perhaps doesn't help that each territory is slightly different (I mean, there is no definitive CH discography because everywhere released something different). Bu in the UK, I'd argue that Better Be Home Soon was a poor choice of single, Chocolate Cake proved less than popular...
And yes, I didn't rate Don't Stop Now or Saturday Sun as singles either.