For me, that's the man maths I used.
If you have £15K invested somewhere and cash that in and buy "PV and Battery" then you get the "Electricity bill saving" instead of the "investment interest" .
You pay tax on "investment interest" on your savings account, whereas the "Electricity bill saving" is tax free.
Also the "investment interest" is somewhat fixed - i.e. you have a fixed sum of money paying out a fixed amount of interest (depending on interest rates) , i.e. the Interest is not index-linked - assuming you draw out the interest (e.g. to pay the electricity bill)
Whereas the "Electricity bill saving" is both index-linked and also for any unexpected massive price increases that come along. Basically you have reduced your electricity bill by X% so you no longer pay X% of the bill, regardless of how much it rises to.
So if PV + Battery can be afforded from "savings" I think the maths work well comparison a conventional savings account, and tax, with reduced electricity bills
I take your point that if your electricity usage is "tiny" you can't make the saving
But if PV / Battery is "sized right" for your consumption, then I think?? you would get the saving.
For me, I want the Battery to charge to 100% each day (from PV in Summer and from Off Peak in Winter) and discharge down to zero (during the night in Summer, and during the Day in Winter).
I also don't want the PV to generate more than I use and battery can store (excepting what I can then put into the car - but that assumes 1: Car at home on Sunny Days and 2: Car battery isn't already full from yesterday's sunshine!) - 'coz the price I am paid for Export is tiny (mind you ... its better than nothing)