It seems to me, after researching a little bit, that Virginia and flue ured are two totally different things and that, in general, Virginia tobacco isn't even flue cured but instead fire cured.
There are many types of tobacco. There are also several types of tobacco curing. Check it out...
You are right about that.
I was trying to be brief, but it can get pretty complicated.
There are many cultivars of tobacco, and they are often grouped together (or referred to) by growing region, specific qualities, and/or intended purpose. Because the intended purpose of a cultivar often determines it's growing/harvesting/curing process, they are often grouped or referenced by process as well (which gets a little weird).
Anyways, a cigarette blend (especially in American cigarettes) typically starts with a Burley to make up the body. This is favorably complimented by a light, sweet aromatic tobacco. A Virginia (or similar) works well for that - especially if it's flue-cured. Consequently, it's often referred to as just 'flue-cured.' Then an Oriental is typically added to round things out.
Virginias can also be direct fire-cured, which gives us something sweet, but with a dark smokey note - generally not what we're looking for in a cigarette blend. It does still occasionally see some use in snuffs and some pipe tobaccos, though.
