I may an idiot and haven't been in the market for new appliances for a while, but between an ice maker and a door alarm, how could you possibly require Internet acccess? Does it offer an app on your phone to operate the ice maker when you're not home?
travisgriggs said refrigerator manufacturers limited desired hardware features to models which had undesired network features. This was the last comment which mentioned network features.
delaminator asked what hardware features could not be lived without.
