I beg to disagree. If you already have a heat pump then Cosy makes financial sense without a battery. Getting a battery by itself just for Cosy would not be financially justifiable.
For a heat pump consuming say 3,000kWh pa there would be a potential maximum saving of (3,000 x 12p) = £360 pa, with no up front investment, having already bought the heat pump.
For a battery only, for an average consumption of 3,000kWh pa, the potential maximum saving would be the same at £360pa, but with a big up front investment. Considering the alternative use of your money at a few % interest on a fixed deposit account for 10 years after which you get all your money back, I would not consider getting a battery just for Cosy.
Happy to be challenged on this.