After more digging, I learned in Logitech's support forums that others have this issue too, also that no one has a solution there either.
After even more digging, I found a fix, which I detailed there and below for completeness.
Microsoft Community Solution
TheTexanGamer's Microsoft Community solution to a similar issue with an Xbox 360 wireless ...
Input devices register as /dev/input/eventX in Linux, to interact with them you have to open that pseudo file and read from it.
Example source code to do in from C can be downloaded via:
apt-get source evtest
Python Code can be found at: