Highly doubtful. The menthol really covers up a lot of the tobacco taste. All of the tobacco companies are stretching their resources these days to use as much low-cost ingredients, including tobacco, as possible.
My favorite cigarette was relatively cheap, it was Marlboro Black & Red or Black & Green. I thought it had the most tobacco flavor of those I tried (I also rolled my own with Natural American Spirit Dark Blue, and they were slightly better than the NAS-DB IMO).
I also liked Marlboro Southern Cuts, but they were obviously laced with a topping to generate their powerful Vanilla scent.