Gretsch made just one kind of drum (using shells they subcontracted from Jasper) in various sizes. Like Ludwig the outfit names are just that, marketing names for various combinations of those drums. a 20" bass drum or a 12" tom was the same regardless of what outfit it came with. The bass drums might get some variation as far as mounting hardware or the placement thereof but the underlying drum structure was the same.
Thank you! That's the crux of my question!