When I use ice from the refrigerator ice maker is seems to melt faster than the ice I make for drinks, to get the cocktail chilled. I presume that using much harder (colder) ice would not reach the proper dilution. Unless you’re interested in shaking each drink for a few minutes each. At least that’s my best guess.
I don’t know that I like this enough to toy with the ratios. As sweet as I imagined it would be. The fourth rule of the cocktail randomizer applies:
Rule 4: Just because you have the ingredients, doesn’t mean you should make it.