Good point.The low frequencies make me wonder about noise from outside your room. In one band they add to room modes and in another partly cancel them out. Run at a different time of day.
Maybe do a measure at a higher level. Say 10 db higher, assuming that doesn't stress your gear. This would reduce the influence of noise and result in a reduced difference if external noise is the cause of this.
Another check would be to measure the speaker terminals with an ADC (you'll need to step down the voltage) which I would expect to be pretty much identical with either cable.
And another thing to note - assuming OP is in USA or other 60Hz country, the peak variation is at 3rd harmonic of mains frequency. Whats the bet there is some mains hum or other mains related vibration somewhere nearby.