And the report answers: "The evidence is sufficient to conclude that it is more likely than not that the availability of menthol cigarettes increases the likelihood of experimentation and regular smoking beyond the anticipated prevalence if such cigarettes were not available, in the general population and particularly in African Americans."
That would seem to be a "yes."
Thus does the Tobacco Products Scientific Advisory Committee make its way toward its recommendation to the FDA: "Removal of menthol cigarettes from the marketplace would benefit public health in the United States."