I breadboard a similar circuit often when doing testing to enable easy changes in attenuation. However, when I decide on the attenuation, I revert that circuit back to having the cap before the autotransformer. I just would not feel safe leaving that large low resistance coil in there for the long term as a direct low resistance path to ground. Thinking of course here of the chance that the amp could fail and put a high current DC supply across that autotransformer coil. Now that can and does happen with the woofer circuit. But in that case, generally the relatively small woofer voice coil opens petty quickly taking the path for current away. The autotransformer with much larger wire will just continue to cook until something in the amp gives up. Like I said, just can't get comfortable leaving that in the circuit long term and without me right there monitoring it.
Bob Crites