[0] - https://customercare.23andme.com/hc/en-us/articles/202904760...
[1] - http://www.isogg.org/wiki/Autosomal_DNA_testing_comparison_c...
(I will admit to not having compared more than a handful of SNPs with what 23andMe has to say about them, and I suppose they could have tampered with the data, but that seems like a lot of effort for the one-time payment they got from me...)
Actually, that is not true: "It revealed links between Neanderthal DNA and depression, obesity and certain skin disorders, with some variants being associated with an increased risk and others with a reduced risk" (emphasis mine).
I don't know whether there are good gene/benefits datasets, but they used gene/diseases datasets.
So... they were positive effect but now have become a relic of the past and a burden.
edit:
Quote:
“Many traits that were adaptive 10,000 years ago might be maladaptive today” because of lifestyle, diet and other shifts, notes Rasmus Nielsen, a population geneticist at the University of California, Berkeley.
I'd venture to guess HS would have spread with or without Neanderthal genes.