Actually just the opposite. First of all there's no such thing as "Neolithic Greeks." Neolithic farmers spread throughout Europe from Anatolia beginning in the 7th Millennium bce (first entering what is today Greece) and were not necessarily "dark" or "olive" (whatever that means) skinned but actually introduced a light skinned allele into Europe inhabited by "darker" skinned Hunter Gatherers. Indo European (Steppe Pastoralists) were most likely of a similar complexion to the farmer population.
I'm afraid you're a bit confused.
There is indeed, as Jovialis pointed out, a cluster labelled "Neolithic Greeks", who were very similar to but slightly different from EEF. Someone would have to check, because I'm no longer clear on the details, as to the precise difference. It might have been less or no WHG because Greece didn't have many if any of them, the first significant settlement being north of Greece proper at the fishing center at the Gates.
Also, the vast majority of Neolithic Greeks and the first EEF carried only one of the two major depigmentation snps (24A5, not 42A5). There are a few Anatolian farmers who had blue eyes etc. but they were vastly outnumbered. So, while the early Neolithic farmers of Greece and the rest of Europe would likely have been "lighter" than the WHG who carried neither of them, they certainly would have been at least olive skinned if not darker.
I'll say it again because apparently it needs repeating. Only when there was a combination of the two major snps, some other more minor ones, plus blue eyes in some cases, the latter snp also playing some part in skin de-pigmentation, do we get anything resembling modern European pigmentation, and their percentage of the population was quite a bit lower even 3,000 years ago, it taking time to rise in frequency not only within the initial group, but to spread throughout Europe. Migration played a part, but so did evolution. If you lived in a place like Ireland, where it's either overcast or raining all the time, selection for pale skin would be very adaptive. You'd have to be mad to want that kind of skin in most areas fronting the Mediterranean. Trust me, I know.
Look at the people who went to the British Isles for example. They are now a by-word for "fair" people, but if you go back to the original paper, many of them had brown eyes, many had dark hair etc. That phenotype still exists in Britain. Some of it came perhaps from the Southern French migration we have learned took place, but some doubtless from the original Beakers, or even from the few Neolithic people who survived.
As for the Prince of the Lilies, he may have been that pale, or maybe as a young Prince he wasn't out in the baking sun very much and it was artistic convention. Some Myceneans were relatively fair, but only some, and I would think Minoans might even be darker. Anyway, I don't care. Don't you think it's time to call a halt to this adoration of the kind of phenotype Goebels delighted in putting on posters? The sickness of that is that it was the brainchild of a completely Southern European, even Jewish looking man who was mercilessly teased by his young German friends for his looks.