As I see it the 10:1 rule will be of no importance if all of the following conditions are satisfied:
1)The output and input impedances that are involved are both essentially resistive, and do not vary significantly as a function of frequency. That condition will usually not be satisfied if the preamp has a coupling capacitor in series with its output, as is the case with most tube preamps and some ss preamps. I'm uncertain as to how often it will or won't be satisfied if no capacitor is present.
2)The component supplying the signal can handle the load impedance without distortion or other signs of stress. I would not expect that to be a problem in most cases unless the load impedance is very low (e.g., 1K or less).
3)The loss in gain that will result is not an issue. For instance, a 1:1 ratio would result in a 6db loss in the maximum volume that can be achieved, in comparison to a high ratio.
Also, cable capacitance must not be too high in relation to output impedance, but that is a separate issue.
BTW, if the Air Tight's 600 ohm output impedance specification does not make any reference to frequency, and if the design includes a coupling capacitor at its output, the output impedance is likely to rise to considerably greater values at very low frequencies (perhaps 3K or 4K at 20Hz). With a 15K load impedance, that would result in a small but very conceivably audible bottom octave rolloff. A nominal (presumably mid-frequency) output impedance number should be multiplied by 50 to 75x, rather than 10x, to be completely safe under all circumstances, IMO. The 10x number would be appropriate to use if the worst case output impedance is known.
Regards,
-- Al