Nah, he kept saying solar not batteries
Agree, important differentiation!
Now home batteries vs for example cosy would be an interesting consideration.
Cosy being the tariff that is useful for heat pumps, 2x3hr cheap(er)charging periods, but expensive peak peak.
Those of us with home batteries know that the key is the tariff for the winter months.
If you have access to a low cost overnight tariff, Go for example then your ROI is based heavily on the winter charging.
I charge at 9p (it was 7.5p until last week). That charge plus what I generate will not cover my usage on average from around Nov-Feb. (its very ish you could get a good/bad year)
I don't know anyone, bar maybe Ronski, who will have vastly over capacity of stored power.
The simple economics are, lots of battery for winter is great, but for approx 6 months of the year you dont need anywhere near as much. Once you start having decent daily generation (kicks in March type time) then you need far less storage since your need is for smoothing the peaks, and trying to cover the moment the sun "goes down" to when you can again charge cheaply.
If your buying batteries for simply heat pumps then your going to need to be careful.
Those of us with batteries already know that the winter key is the opportunity to charge batteries cheaply.
Cosy would give that to you. Run the heat pump in the 4-7am for the hot water and start the heating in effect. Also charge batteries.
Use batteries from 7am -1pm. 1-4pm charge batteries and heat the house. 4-7pm you want to be battery only since thats the very expensive part of the Cosy tariff.
TLDR yes batteries will give you the potential to run a heat pump more cheaply.
The key is, and always remains with home batteries (unless you have a very large solar array) access to a cheap offpeak tariff. Without a tariff allowing you to charge cheaply in the winter and use later the ROI basically goes to never.
So your taking the risk of buying expensive batteries on that assumption there will always be a more beneficial tariff. Its probably true, but its a hell of a gamble!
Solar and batteries your always going to make use of them in the summer. But the ROI of them goes out a lot without winter charging.