Maybe this is an area where we differ in Regards to what constitutes a HBG. To me, if an F1 hybrid crosses with a "pure" BG and offspring result from the cross, those offspring ARE hybrid bluegills for all practical concerns, most obviously in their appearance.
I will look for Meadowlark posts when I have time. If memory serves, he had both F2 and F3 fish. I've caught a couple FX fish out of my own pond, but cannot say with certainty whether they were F2 hybs, or the result of a female HBG crossing with a male BG. I do have a few male BG in the pond, and certainly have had female HBG in the past.