Some times manufacturers will offer their products to another company as a sales gimmick. This might be one of those. I bought a Black & Decker sander several years ago. Included with it was a Dremel Mini-Mite. It came with no acessories, but I had plenty from my other Dremel tool.
Just because the air brush is cheap doesn't make it junk. I could very well be a Badger 150 sold by Campbell-Hausfeld. They may have a license agreement with Badger.
Berny
Phormer Phantom Phixer
On the bench
TF-102A Delta Dagger, 32nd FIS, 54-1370, 1/48 scale. Monogram Pro Modeler with C&H conversion.
Revell F-4E Phantom II 33rd TFW, 58th TFS, 69-260, 1/32 scale.
Tamiya F-4D Phantom II, 13th TFS, 66-8711, 1/32 scale. F-4 Phantom Group Build.