On one of the sources of grid usage it has a placeholder for batteries but says:
> Several battery storage systems are in operation in Great Britain, but full reporting is not yet available: reports include discharging but not charging. As this would lead to double counting, with power being reported both when originally generated and when discharged from battery storage systems, battery storage data is not yet shown on this site.
Conceptually it is no different from pumped hydro storage. - for that they simply use negative numbers for pumping and positive for release.
I guess it's some technical problem with standardisation/tracking/reporting of the charging right now.
As/if Vehicle-to-Grid becomes more widespread, where you have highly distributed battery storage, it will be interesting to see if this will be publicly tracked.
Already domestic solar production is largely invisible ( as that mostly manifests in reduced demand ).
However I assume, in terms of managing the grid day to day, that such information is going to be important. ( eg if it's a largely cloudly day then that will be manifest as a rise in domestic demand ).