This is audiophile land. Assume misinformation is rife in almost all cases.
You don't need a precision clock in audio. You need a clock with low jitter over a period of time about about 2-5 times the lowest frequency, or out 0.1 - 0.25 seconds.
Why do I need a 1 part per million accurate clock. Do you think anyone's turntable is this accurate?
Why do I need an oven controlled crystal oscillator, which was developed for frequency stability over long periods of time, not near term jitter. If these designers were really trying for lowest jitter, they would cool the crystal because the phase noise is lower. But people use oven controlled because it is cheap, and they only need stability. Some scientific applications do cool the crystal for lower thermal noise.
I am ranting :-) ... a good clock is essential as many have noted for synchronous signals, but good DACs can eliminate almost all jitter, and certainly audible jitter. Even low cost DACs can do that now.