Breaking cigars into Nic, Dom, and Cuban, I'm about 95%+ confident that I could pick them out. There is a distinct taste, and to a large degree, feel that is associated with each.
Nic sticks are often, but not always, dirtier and rougher in mouthfeel and wrapper, more pepper on the palate and general strength of tobacco. I've found them to run warmer and a bit more harshly than Dominicans or Cubans.
Dominicans are often smoother, creamy, nuanced with espresso and cocoa, sometimes nut overtones. They strike me as slightly more balanced and less likely to be harsh, when compared to Nics. They are also often very woody.
Cubans are defined by the unique taste of their tobacco, as well as, often at least, a more pronounced depth of flavors, similar to how Nic sticks are with pepper. Rarely a rough and dirty mouthfeel or wrapper. Also, when stored properly and sometimes with age, I've found that the flavors meld/mesh/settle/marry better than others, in that you get many of the flavors at once, well balance, instead of changing every 1/3rd. There may be less progression (although less true in longer vitolas), but more depth and balance.