I was in a similar situation and was seriously shocked at the amount of electricity it used. We couldn't turn the pump off, as then it would overflow as depending on the design, it would need a reservoir for the circulating water. If the sun hit it, the evaporation was huge and risked damaging the pump if we weren't watching it.
Eventually, I decided to just ignore it and see what would happen.
Local ducks brought duckweed (a Lemna species) which brought frogs who controlled the mosquitoes. I have domestic ducks, so when the Lemna gets too thick, I harvest it for the ducks (Quack Coc___n). This helps to remove
enough of the organic load that we have not had any issues with algae blooms.
If I was doing this again, I would look for useful plants that would like the
pond, such as cattails, or if you're warm enough, Lotus
Root is edible and wonderful.
Because it's not natural, I do have to top of the water depending on the weather. When I'm not so busy, I try to save barrels of rain-water for the job as our well water is high calcium. I would be less happy if I had to use chlorinated water.
Depending what the liner is actually made of, they have to be inert enough not to kill the fish, so continuing to use it is likely not any worse an environmental thing than sending it to the land-fill, in my opinion.
If you were able to plant bog/swamp/cattail/rushes and have an overflow system to somewhere useful, it could be the start of a stealth grey water system.