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.)
The thing is that turn on remotely is useless, it requires that you've added soap, closed the dishwasher and that it's turned on. At that point you might as well just set a timer.
There are two features I could see being useful: Auto-start during the night, when the electricity cost is lowest and a detailed error report, like heating element is 100% function, or water is leaking. None of those features will ever be available, because that's not why they are adding "smart" features.
Your dishwasher might not implement it, but the existence of wifi-connected start function probably means that home assistant could enable this.