For my $.02, in southern Illinois now, putting any empty frames on is going to have minimal if any wax drawn (without feeding). For the rest of the year, any nectar coming in is going to be supporting the bees in a hand to mouth scenario. No need, no wax drawn. You may get a small spike/flow in the fall but that's dependent on your location; some yard get one, some don't.
Nothing wrong with a double deep configuration but a queen can only maintain slightly less than a single deep's worth of comb/brood. Double deep will get you more honey in deep frames but double deep doesn't translate to more brood. Extracting deep frames can be a bit problematic with smaller extractors as a deep frame will not fit in some and most of the other's require the frames to be extracted tangentially rather than radially.
While the extra frames of drawn deep combs are handy when making and selling nucs, if your focus is on honey, I don't find the double deep configuration advantageous.
I run a single deep and a med overwintering configuration, the bees will expand the brood into the medium during spring but back fill as the flow wanes. I find the mediums give me better options as I equalize and adjust stores in the fall.