no, because nobody is saying you can't have a black doll. are all black dolls gollliwogs? no.
this is a Golliwog doll, which has strong cultural and hstorical associations with the subjugation of black people, and that is what we are discussing.
As I said, regardless of the rights and wrongs, the doll does cause offense to people, something the in-laws could not possibly have been unaware of. Imagine if the wee boy took the doll into nursery. right or wrong, it would cause offense, which places a small child in a very awkward position which they could not have been aware of.
whether it's politically correct nonsense or not, it isnt fair on the child. if the parent wants to parade a golliwog doll around that is their business as a free adult, but the child cannot exercise that choice.