My son used the Oilatum bar since he was born and I don't have any complains about it.
It is one of the most reliable brands wwhen it comes to hypoallegenic soaps. I know this because my son's whole body got a lot of red spots when he got allergic to a cheaper baby soap that I used. Since then, I never switched to any other brand of soaps. This brand is what I trust when it comes to bathing my baby.
The pediatrician that we consulted when my son got the rashes gave us a sample of the oilatum bar, which means that they really recomments parents to use that kind of soap to babies with allergic reactions.
I could also use it as a shampoo, basing from the fact that the hair is just an extension of the skin.