I’ve been on Time of Use billing for several months now. I also have consciously switched to using the higher wattage items during non-peak hours and opting out of consuming during peak.
Result- damn near the same as prior residential bill!! Granted, the rates during summer are only a few pennies difference peak vs off peak. So we will see how it shakes out during the winter.
Guessing during the summer at least, using a battery during peak hours will be a quite long ROI. Unless you have to use lots of power on-peak.