The both work exactly the same.
Actually, they don't. The larger one has a folded metal piece that just crimps the wire when the screw compresses it. The smaller one actually has a moving jaw that the screw clamps the wire at the top as you tighten it.
I've used thousands of these on several of my products, so I'm pretty well acquainted with them.
If you're saying they both tighten on a wire, I guess you can claim that.