No the characteristic impedance is irrelevant for audio frequency signals. Any normal audio screened cable will be fine. Worrying about the capacitance of long cable runs is also irrelevant considering the low frequency (less than 120Hz).Some people say subwoofer should use 75ohm coaxial cable, some cable claim themselves are specialized for subwoofer.
What actually the difference between a normal RCA cable, say Canare 4E6S, vs a 75ohm cable, for subwoofer usage?
Does distance matter in this consideration? Since usually we put subwoofer somewhere in the room which may far away from your device.
If your system has issues with ground loops a cable with a low resistance shield will minimise the problem, but it's just a fundamental problem with single ended (RCA) interconnections. I have never experienced any problems with very small diameter cables that can be tucked out of sight under skirting and carpet edges.
The whole driving subs with high level speaker outputs has never made sense to me. RCA sources will have lower noise and distortion than almost any speaker output. Taking the source from the speaker connections doesn't make integration better.
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