I'm not suggesting that only people with R1b haplotypes (males) possess or spread the LP SNP. Genetic drift and natural selection will certainly allow the LP SNP to carry over to other people, regardless of their gender, mtDNA, or Y-DNA haplotypes.
Once again, I'm saying that the LP gene common in Europe made it's way to Africa with an R1b carrying population. It is anyone's guess as to what mtDNA haplogroups the immigrants possessed, but since you can link the spread of the European LP SNP to R1b carriers in Africa (regardless of what mtDNA haplogroups the original LP persistent immigrating men and women carried), the same may be possible in Europe.

