The problem there is the facehugger's behavior would then not make any sense. It would have been more likely for them to immediately seek out Newt and Ripley for impregnation, or to give Hicks a smoochy while he was comatose in the drop ship.
Unless we're going to go with the idea that they let their queen die for some reason, which doesn't seem in keeping.
As an aside I always liked the idea of the queen's stinger doing nasty crap to Bishop's insides from the unused Gibson draft. Just seemed like a neat way to expand on the alien capabilities and avoid them being boxed into just one kind of life cycle.
