I suppose I wouldn't mind having a fridge which knew what was in it, so I could check what I needed to pick up on my way home before I left the office. But I doubt the system could be made smart enough that it actually saved me more mental effort than it consumed. The low-tech version is to simply put cameras in your fridge so that you can check its contents remotely... but even if I had this set up I doubt I'd use it all that often.
Maybe I'm being overly harsh on the smart-fridge idea. But I think it's representative of a huge class of dumb ideas: let's use fancy technology to save some minor effort for the consumer, at the cost of the consumer now having to go to the effort of acquiring, learning and maintaining yet another fancy piece of new technology. Screw it, I want my microwave with dials back.