My point about the specified impedance along with the output voltage was to make the necessary gain calculations easier. In your Lyra example, using a 10 Ohm load with a 7 Ohm impedance cart will drop the output level by 4.6dB, which could be significant. The output level will only be insensitive to the load if the load is 10x the cart impedance or higher.
My point about conjugating the imaginary (reactive) impedance of the cart is to cancel out any inductive or capacitive reactance so the cart sees a purely resistive load which will give the flatest frequency response with no peaking at high frequencies. If the complex impedance of the cart could be measured or calculated, then the proper termination could be easily determined instead of guessing or by changing loads and listening for a difference.