Yes, the reverse is definitely true. Let's say vinifera Chardonnay is growing in Finger Lakes (as per the earlier question) next to a row of Labrusca - and the Chardonnay is pollinated by the Lambrusca. All that happens is that the seeds in the Chardonnay grapes contain DNA of both the Chardonnay mother and the Labrusca father.
The status - the DNA - of the Chardonnay vine itself or its grapes are not altered or affected by having its grapes fertilised. (Any more than a human mother's biology is changed by the man who fathers her children).
If the seeds of that grape were planted the resulting vine would be a new unique variety - in this case a hybrid since the parents are of two different species.
I'm all for planting the seeds of that grape. Come to think of it, the seeds already must have planted inadvertently and resulted in vines. Just have to go out and find 'em.

