But the resulting organism, if it has the desired traits, has the very same genetic structure as if that trait were achieved via hybridization. Right?
There is no fundamental difference in genetic material between a human being and a potato, is there? Just the order in which it's put together. It's all the same nucleotides.
So what difference does it make where they come from? It's like saying distilled water from the Pacific is different than distilled water from lake Superior. Same water

.
That's what I mean about a lack of understanding. People have this *feeling* that an organism modified in one way is somehow different than an organism modified in another, when the results are exactly the same.