The border caught my eye as well, and I strained trying to see if I could make out a border on the cards they're playing with, and I can't quite see one, but as you say, TV wasn't high-res back then, so obvious distortion with the picture is what makes it difficult to make a solid confirmation. Still, studying the center design as best I could, and comparing it with the pic that I found (looking out of focus, that is), I think these may be it - or, at the very least, a strong possibility.
Oh, and I just took another look at the first pic that was shared: is that the box by Desi's elbow, or a cigaratte pack? I'm not expecting it to help try to confirm the cards, I'm just curious as to what it is. For some reason, box designs always seem reminiscent of cigarette packages to me . . . I mean, when I look at Bicycle boxes (particularly red decks), I somehow feel like I'm looking at Marlboro packs.
EDIT: I took one more look at the pic I found, this time without my glasses, and somehow, the way the border blurs makes it look like it more or less blends like a gradiant from the outer white border to the inner design.