I know most on this forum consider "electric sun" a joke. But just for the sake of argument, assume the Sun is part of a plasma circuit—charge flows in and out. Now imagine the Homer Simpson moment when a Dyson sphere is completed. D'oh!
Well, in that case... If the galactic current were pinched off by a Dyson sphere and the sun went out, the sun would become a gas-giant rogue planet. And its planets would become frozen moons-- all hidden inside an ultra-giant, hollow artificial rogue planet like a matryoshka doll.
It's a public works project that could go down as one of the biggest political mistakes in the galaxy, if anyone could see it all to keep score.
But I'm pretty sure that, in all of the (let's say) two trillion stars of our local group of galaxies, no one will ever build a Dyson sphere. It's too expensive.