Maybe we're just thinking about it wrong. Instead of thinking of the currency as actual electricity/power, maybe the value just reprents how many energy credits of currency your civilisation EARNS by working or exploiting certain resources or buildings.
You're not actually printing money by building a power plant, you're creating power that then gets sold to the population, military and government agencies for x energy credits of value.
The Dyson Sphere produces massive amounts of credits by providing various companies and other entities with a system where power is basically limitless. I'm sure there are scientific applications and industrial processes that would eat so much energy that attempting them on a planetary surface would just be unfeasible, but conducting those processes and experiments in an otherwise unoccupied system in space via the help of the boundless energy created by the dyson sphere might be a different matter.
Instead of finding a way to transport energy that can't be intercepted, the energy credits would then instead just be transferred via accounts and used to buy energy from the nearest zero point plant, much as our bank notes used to be promisory notes representing a certain amount of gold (as it was easier to carry a slip of paper worth kgs of gold than having to pay people to lug around a heavily guarded strongbox full of rare metals).
This would also explain why credit theft isn't a thing in the game. If the energy was beamed around through empty space, I'd expect rogue elements to intercept the streams, siphon full batteries worth of current and skeedaddling before the authorities can get a navy detachment there to apprehend them - especially as it would probably take some time to find out where exactly along the line the stream was intercepted, given that at least hyperlanes and wormhole ships are unable to just cruise along the stream until they find the interloper (unless you only convey energy along the hyperlane or make special wormhole gate ships just to apprehend criminals that hide in the vast emptiness of space between stars).
It'd also make more sense than trying to beam energy, because I can't imagine a way to make beaming electricity around cheaper than just producing it on the spot.