When people think through the idea, at second thought it isn't always as good an idea as it first seemed. Thoughtful and romantic - yes, but people often think that they'll simply stick a case under the stairs or in the cellar. Most wines today are not intended for storing. Very few wines improve with lengthy age, many more deteriorate.
I suspect that most kids born now will have much more pressing needs on their mind than drinking a case of wine that may or may not be drinkable. A nice printed savings certificate over this length of time will probably be much more tasty than some wine. Perhaps they'll buy a single bottle of decent champers and spend the rest on something they really need at that time. Housing, travel, education, their own kids .......