Hi Al and Mike
I don't think this is getting us any where.
The doubling and halving of drive signals is being brought up because of the desire to connect a single drive line to an input that is expecting to see a balanced line transmission and that is easy to sort out in amplitude terms.
On noise reduction the only thing that matters is if the machine will work and not suffer from spurious actions due to lack of common mode rejection.
Kind regards all round - Pat