What you are trying to do is expand or open the brood nest. Are you using foundation frames, or foundationless, or drawn comb frames? Yes it can make a diff on this.
Reversing the hive bodies at this point isn't going to help get those frame full of bees. They will only draw comb as they need it, and they will only expand the brood nest as there are bees to cover the new brood.
So what I would suggest using the following base line is this.
If using only frames with or without foundation.
Put your hive boxes back the way they were to begin with. Then wait. You see they will draw out the one frame you put in the bottom as long as it is placed in the center of the box. #3 frame that is. It will take them a few days to get it drawn if you are not feeding them. If you are feeding them it won't take as long. Then the next time you open them up for inspection do the same thing again moving that frame up with a new frame in #3 spot on bottom box. At this same time, move the frames in the upper box around till #3 is blank with the two drawn frames at #2 and #4. Continue till you have enough drawn frames to continue to the next box, etc.