With USB Overdrive, it is possible to alter any button on any input device like your mouse, and you can define specifics for a particular mouse or input device to suit your need.
All I did was to alter Wheel up and Wheel down for my mouse to be the opposite direction, so that Wheel up is 'down' and Wheel down is 'up,' and I can still retain the regular behavior for other devices.
[crarko adds: USB Overdrive has been handy for many years, and it's nice to see it still is.]

