I think this is a subject worth a little dialog.
Back in the day, it was a big deal just to get a signal from one place to another. Could be audio, but could be FM or radar, too. If you've got to pump a signal from one place to another over a long cable or waveguide, you've got to impedance match it.
In audio, that meant the everything had 600 ohm transformers on either end. In FM, radar, or cable TV, it means everything was properly terminated so that there was no VSWR losses. VSWR means "voltage stanging wave ratio." In the RF world, when signal transmittion distances are longer, or a significant fraction of, a wavelength of the signal involved, you have to properly move energy from one place to another efficiently because if you are not efficiently coupling signals you get reflections of energy. This reflected energy "beats" against the incoming signal and creates standing waves on the transmittion line. This "voltage standing wave" can mess with detection of the signal of interest (amplitude, frequency, or phase modulated signals). So it is very often that designers couple by "impedance match" from place to place when efficient transmittion is important.
However, if you're talking about impedance matching an audio signal, the VSWR is of no interest because 20kHz at the speed of light is a very long wavelength, and no "standing wave" type interference would come into play. In audio you are really talking about using a 600ohm transformer balanced method to ship around michophone signals with a lot of common mode rejections from intereference. But, these transformer coupled techniques have some resonant behaviours that effect the sound.
To get rid of that you use a "bridging" method of impedance matching. "Bridging" is generally considered to be the point where the output impedance is at least ten times smaller than the input impeance of the driven device. Generally speaking input impedances of audio equipment (Power amps, pre-amps, headphone amps) is at least 10kOhms---usually more like 50kOhm.
So, you're 300 or 600 ohm ouput impedance pre-amp is driving a 500-1000 times bigger 30kOhm input impedance amp. Which means it's bridging. In this case, the pre-amp has no problem delivering the voltage required to drive the load of the amp input. The low output impedance of the amp acts to short out any reactive difficulties driving the load. This is called being well damped.
This is why headphone amps tend to be good pre-amps: they are authoritative in thier ability to drive the input of another device like a power amp.