In order to justify ignoring all the burning stars, it needs to be easier to tap than solar and much much more energy than all the stars will ever generate. I think that requires new physics.
Really the energy source must be infinite. If you can see that it will run out in a trillion years and you can survive for another billion by harvesting suns, somebody will.
We have nuclear power but still dam rivers, and I think beavers notice.
OTOH If there is a source of unlimited free energy, maybe some of those bright spots in space aren't stars at all.