Isn't there a loss in efficiency due to heat? Compressing air heats it up, which is lost (this is the basic principle behind refrigeration, though it doesn't us

Isn't there a loss in efficiency due to heat? Compressing air heats it up, which is lost (this is the basic principle behind refrigeration, though it doesn't use air). And then there's the loss in converting this PE back into electricity. Are these losses less than what's lost in LiON cells?