No, the country listed there has nothing to do with leaf source.
Many blends have a LOT of leaf in them. A straight VA might have upwards of 15 different leaf sources from all over the world, or it could only have 2-3 leaf sources in it.
I'm not sure what that country listing indicates, whether it's market availability/produced for a particular market, the country of origin of the blend recipe or what, but it's definitely nothing to do with the source of the leaf.
Many American blends source from all over, not just in the USA.
Furthermore, just because a tobacco is called "Kentucky" or "Virginia", that doesn't mean it was grown in either of those states. Those are marketing terms that represent a particular type of tobacco leaf cured in a particular type of way. Virginia and burley can, and often is grown in other places, but those terms aren't used by tobacco brokers. Brokers sell leaf by type of curing (sun, air, flue, etc)... the marketing terms work because "burley" leaf, based on how it's grown and it's grow conditions, lends itself to air curing while virginia lends itself to flue curing.
There was an article about this recently, an article with Jeremy Reeves of C&D, as well as another article where Shane Ireland interviewed someone on the Stokkebye 4th generation blends that can give you insight into that side of things.
The article where Jeremy mentions some stuff about tobacco brokers and buying leaf:
The Stokkebye interview: