Their website appears to be targeting hotels, restaurants, and bars. I find it hard to believe that patrons are going to know where the ice in their mixed drink is from.
If you're an establishment selling to wealthy consumers, which is the market in the kind of places they're targeting, then your clientele does respond to kind of outrageous gimmicks like this. They're seeking novelty and pedigree. Then it comes down to: if you can entice customers to pay some X up charge, pay Y for the ice, and X > Y, then it's worth it for everyone involved to ship that stuff around.
I want to start a venture where in the small print I say that it's not actual Arctic ice, or that the ice is made in a fridge named "The Arctic" located in the corner of the kitchen we've named "Greenland".
Or I could just sell certificates that are as useful as those CO2 compensation certificates...
