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RE: Even simpler. What is the input impedance to your subwoofer amp?

Exactly.

In a pure balanced line, there is no ground. There is only a shield, which is NOT the signal ground of components at either end. This is best implemented with a transformer. In that case, you can ground one end of the secondary to get a single-ended connection.

Many (most?) modern balanced components are more like differential lines, where there are two signal paths in opposite phase, which share a common signal ground. This is a decent approximation as long as the impedance to the source's common signal ground is much, much smaller than the receiver's impedance to ground. That means you can't just connect one side to ground.

Many problems are caused by the confusion between signal and shield grounds ... :^)

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