On the Cosy tariff here, heat pump, no battery, house occupied most days. The shape of it is three cheap windows a day, 04:00 to 07:00, 13:00 to 16:00 and 22:00 to midnight, with a peak window 16:00 to 19:00 that costs meaningfully more than the day rate.
What made it work without a battery was using the building as the store. Heating boosts a degree in the early morning window and again in the early afternoon window, cylinder reheats at 05:00, then the pump is set back through 16:00 to 19:00 and coasts. A well insulated house coasts through three hours easily. A leaky one does not, and that is the whole difference between people who love this tariff and people who hate it.