I wouldn't consider myself a wine snob, but I'm not really looking forward to being served a nice Pinot Grigio from Trentino (DOC) with cubes of frozen Liebfraumilch. The logistics of keeping matching iced versions of wine sound overwhelmingly complex.
In fairness, you'd be the type of person who always drinks the same white wine at a time. Presumably every 4 or so bottles you would run out of ice cubes and could switch. You also could have a variety of red wines available.