I saw a fridge that had an app so you could control it from anywhere.
My requirements for a fridge are remarkably simple, to the point the only practical use I could think of an app was alarm that I'd left the door open or something.
(If this particular app did have a door-open alarm, it wasn't on the list of features. It did say you could adjust the temperature from your office. A location I'm often worrying about the fridge.)
I'd love to be able to see/know what I have at home while I'm shopping.
But yeah, it's a minor convenience