One year in front of a large audience I ran a test intended to prove that big ice cubes were all show. I shook with different types of ice and dumped the drinks into graduated cylinders to measure the amount of foam the shaking had produced. To my surprise, and embarrassment, the large cube had a positive, repeatable effect on foam quantity. I don’t know why the big cube does a better job, it just does.
I’m not sure my homemade cocktail game is quite good enough to be worrying about texture at this point, but yours might be.