Painting on cupboard glass

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I have a corner cupboard in my kitchen that had a plain, clear glass insert. I just had a custom-made insert done in "watered" clear glass with a leaded design. Unfortunately, the textured glass isn't as opaque as I thought it would be (I don't want to be able to see the contents of the cupboard very clearly). I wondered if I could paint the back of the glass with black glass paint to obscure the view of the inside of the cupboard. My kitchen is modern with white cupboards, black and grey granite countertops, and stainless steel appliances. Any suggestions?