Most of the time when I run the washing machine, I want the clothes clean today, I don't care particularly when.
I'm pretty sure that's not true for nearly anybody else.
No idea when it's going to start washing means you have no idea when to go in and move them to the dryer. And since you have no idea when the dryer will start, you have no idea when you'll need to come and take them out. 9pm? 2am?
These delays will also be multiplied by how many loads of laundry you're trying to get done that day, making it a completely unworkable scheme for most households.
you can either advance or delay the chilling by quite a bit without affecting the temperature. You can also run the compressor and chill the coolant a bit in advance of needing it,
No. Unless you think 10 minutes is quite a bit of time. Fluctuations in ambient temperatures (day versus night), frequency of access, and items being added/removed will substantially change the interior temperatures in very short order. If the compressor doesn't come on RIGHT AWAY, you're going to very quickly have frozen items melting, and refrigerated items going above the proper temperatures, and spoiling more quickly.
And predicting the future is a similarly bad idea. The thermostat can detect a temperature rise, then a few minutes later, the temperature could drop below the target, as cold items are removed and re-added, or the thermostat is subject to stray warm air pockets. So when you turn on the compressor in advance, you either risk over-chilling the contents, or you store that cold somewhere, and don't utilize it before it warms again.
you'd likely recoup that in a year if electricity prices fluctuated by 10% during the day.
I can't imagine how you calculated that... Looking-up a basic $500 refrigerator, I see an EnergyGuide rating of $41/yr. A 10% savings would be $4.10. You can't add practically ANYTHING to the design of that refrigerator for $4, never mind extra computer controls that are going to plot and predict future power demands, and the data connection to interface with this smart grid to tell it when electricity is cheaper...