Otherwise They should be trying to grab as much energy as possible, for whatever is it they want to do (as should we) and we should see at least some galaxies going partially dark.
There was a paper I can't find that addressed this somewhat. It said that the energy stars burn is a small part (<1%?) of what they contain in total mass/energy, so it might make sense and harvest that energy later. (The paper did not explain a method for efficient matter/energy conversion but I think black holes can do that?)
That paper didn't fully convince me but it's one of very few arguments that tries to address what I think is the core issue. (At least a few species will want as much energy as they can get.)