"Needy" has a somewhat negative connotation though, doesnt it?
All children have needs, and until such time (usually when the law dictates ) that they can effect their own requirements, then the parents should fulfill that for them.
I think, ultimately, balance is required.
The phobias or fears is a good example of that. Whilst it is not a good idea to say "pull yourself together" etc, I think that gradual, and supported exposure to something that a child is (irrationally) fearful of is more of a benefit than to continuously cushion or accommodate it.
That is to say, if faced with, say a spider, that terrifies a child, then yes, reassure them, but show them that they are safe. Gradually over time get closer to spiders when confronted. Pick one up, whilst keeping a distance from the child etc. Spiders are an almost every day sighting in this country, if you live in an average house/flat, and particularly if you have a garden. The likelihood of being confronted by their fears on a very regular basis is quite high. Ultimately, the effect it could have on their quality of life could be quite dramatic.
However, if someone had a phobia of sharks, for example. Then I dont think it really needs dealing with, except to make sure you never flick the tv on when Jaws is on