You know, high input impedance actually means that the circuit absorbs less power from the power source (or the output of the previous circuit), which is allowing the power source or the previous stage to carry more loads.

There is no doubt that it would be nice to have low output impedance, considering the output power consumes less power on the internal resistance of the signal source, or it can drive a more powerful load.

In a nutshell, high input impedance is aim to minimize the impact on the front stage, while low output impedance has a strong load capacity, which makes the signal less prone to distortion and interference.