The op-amp and trimmer circuit form a light-bias circuit for the right hand LDR. Pretty sure that the LED current does not change except in response to the trimmer. Even though the circuit looks somewhat like a comparator, think of it as a really high gain amplifier (which it is).
As the trimmer increases the (+) input voltage, the output voltage goes up and more current goes through the transistor and LED. This reduces the resistance of the LDR on the left and the (-) input goes up. How far does the (-) input go up? It goes up until it matches the (+) input, if it can. If it goes a little higher than the (+) input, then the transistor base voltage starts to drop, reducing the collector current, etc. so it balances out. This is the servo circuit in action. It adjusts the current to whatever it needs to be, within the limits, to get the (-) voltage to match the (+) voltage. It automatically creates a non linear current/illumination curve in order to get a linear resistance curve. The same illumination is used for the audio control LDR. Fortunately you adjust it by ear so that you can accommodate any differences in their sensitivity or illumination.
There are limits to (1) how much current you can pull through the LED and (2) how low the LDR resistance will go. The op-amp's output voltage is (when the circuit is working properly) not slammed high or low as it would be for a comparator. Once you hit one of those limits, the output voltage can't move far enough to reduce the error voltage to zero and so the op-amp output WILL be slammed into the rails.
I think figure 15 in the link I posted awhile back is instructive. In that example there are two separate LDR/LED assemblies, but the LEDs are connected in series and the nonlinearity of the LED current to LDR resistance relationship are assumed to be identical for both devices (which might not be true, but it's as close as we're going to get). In this example there is one LED shining on two LDRs and most likely the intensity is not the same, but that is just a matter of a gain correction factor (er... or it might explain why the left hand LDR is looking at the LED from the side).