The problem is that you measured energy usage for appliances that have non-discretionary use - ie. I don't get to decide when my fridge or HVAC turns on, that's a factor of the weather outside (for the most part...). Also, since fridges and HVAC fans run continuously, you end up with an averaged out price for energy.
Laundry energy use can't be amortized like a fridge can. They use an extreme amount of energy in short bursts. If you time your laundry incorrectly in a TOU setting, you absolutely will have a larger energy bill. I know this because I've been burned by it. 9c/kwH (low TOU) vs. 14c (high) is more than a 50% price increase for a load of laundry.
Laundry energy use can't be amortized like a fridge can. They use an extreme amount of energy in short bursts. If you time your laundry incorrectly in a TOU setting, you absolutely will have a larger energy bill. I know this because I've been burned by it. 9c/kwH (low TOU) vs. 14c (high) is more than a 50% price increase for a load of laundry.