@Christopher, I would describe my issue with that interpretation as follows
One doesn't transfer meters between traders. One can't transfer a measurement.
Also, a measurement doesn't require difficulty by nature. We can always pull tape further, however, if one doesn't have enough money to count to a large enough number, acquiring more money requires non-trivial difficulty.
Also, as far as we know distance has no limit. Any money counted, represents a fraction of all money in circulation with a calculable maximum.
I return to my contention that money merely acts as a sybil certificate.