If you wish to have 1) a cool room at temperature T 2) enough light, L, to see by 3) a happy human at temperature H Assuming that T,H, and L are fixed, you'

If you wish to have 1) a cool room at temperature T 2) enough light, L, to see by 3) a happy human at temperature H Assuming that T,H, and L are fixed, you're going to use more energy with a less-efficient process. So, you'll 'spend' more energy to get there. If you're trying to run the process at fixed energy, you're going to wind up accepting a slightly higher T. If that's the case, you'd be able to use even less energy by powering the LED directly and moving the setpoint for T up to that same temperature.