Yes! Depending on the color of the wrappers on your cigars, their character can shift from a small to even a significant amount of flavor. Read the following excerpt from an article written for the old version of CigarAdvisor.com.
First, Hendrik pulled three of the same type of cigars out of the humidor…The cigars that were chosen were cigars with a fairly mild blend and were identical, in ring gauge, length, filler, binder and wrapper. He then called down to the factory floor and asked one of the supervisors to bring up a few wrapper leaves of different types.
Eladio took the wrapper leaves off of two of the three cigars and replaced them with two different ones…The first cigar, had the original wrapper leaf, which was a Connecticut Shade grown in Ecuador. This cigar exhibited grassiness and a light spice. The second wrapper, which was a hybrid of Cuban seed and Connecticut seed also grown in Ecuador, displayed rich tobacco sweetness and had medium spice. The third cigar wrapper was a Cuban seed grown in the DR. This cigar was very full in spice and had woody flavors and aromas. All three were very different, even though the filler and binder were identical. I never expected that the differences would be so dramatic, but it was clear that, when the filler blend is fairly light, the flavor of the wrapper leaf will be able to assert itself more easily.
Not only will the color and origin of the wrapper affect the flavor of the cigar, but even the same wrapper leaf can impart a different flavor depending on which part of the plant the leaf was grown. Leaves higher on the plant (high primings) get more sunlight, therefore they grow darker, produce more sugars and tend to be fuller in body and flavor, whereas leaves from the lower part of the plant (low primings) tend to be milder in body and flavor.
This latter phenomenon may be noticed by more experienced cigar smokers who have a developed a taste for specific blends. For instance, if you take two boxes of the same cigars and place them next to each other, you may notice a slight difference in the color of the wrapper leaf. That’s because the cigars are sorted by color in the factory so they look uniform when you open the box. Though it’s generally imperceptible, lighter or darker wrappers can affect the flavor of the smoke. You either have to have an extremely sensitive palate, or know how the cigars should taste based on your experience. Moreover, some customers actually call Customer Service insisting that the manufacturer changed the blend, and in some cases, will even return them.
Finally, lest we forget that we are smoking a naturally-grown, handmade product. Though cigars in every wrapper shade can vary from box to box by a shade or two, a little difference in flavor is usually not enough to warrant a return. At the end of the day, it’s all part of the cigar-smoking experience.