Bigtee,
I think there is some confusion over how a balanced topology works (or perhaps your understanding just wasn't articulated well).
A balanced circuit is "one in which there are two identical signal branches connected so as to operate with the inputs in phase opposition and with the output connections in phase, each balanced to ground."
While you are correct that "positive" and "negative" is a misnomer, it would be better to describe it as "the signal" and "the mirror image of the signal". Each half of a balanced channel does not drive "half the cycle", but the "positive" amplifies "the signal" and the "negative" amplifies "the mirror image of the signal".
I think there is some confusion over how a balanced topology works (or perhaps your understanding just wasn't articulated well).
A balanced circuit is "one in which there are two identical signal branches connected so as to operate with the inputs in phase opposition and with the output connections in phase, each balanced to ground."
While you are correct that "positive" and "negative" is a misnomer, it would be better to describe it as "the signal" and "the mirror image of the signal". Each half of a balanced channel does not drive "half the cycle", but the "positive" amplifies "the signal" and the "negative" amplifies "the mirror image of the signal".