Cool cards, Adam. Yes, I agree that when the cutouts were made to be cutouts it's not the same. I have collected a lot of these things in the past. For me, the closer to being issued as a stand alone premium the better. But I have collected a ton of cutouts in the past and liked them well (including many of those 1936 cutout stamps).
btw, the original post sort of looks like a supplement, and they are cool too. Though they do have, what look to be, page numbers at bottom.
Here is a premium in the current collection.
H-Unc 1929 Tower Theatre Premium - Cochrane 5x7, thick stock