Hair and lint can stick to the ice, but try it for yourself, ice isn’t a sponge. The only way for anything on the surface to work it’s way in is to melt it’s way in, and then freeze the outer shell again. Akin to dropping the ice, kicking it under the fridge, fishing it back out, tossing it back into the ice tray. In which case, you deserve all the hair in your cocktail.
Man if the whales die out, entire countries are going to have to take turns to shit in the ocean.