1 ohm divided by 100 gives 10 mV/amp.
that inductive?
No. Typically the error results in a current step having a substantial overshoot on the leading edge of the sensed voltage, with a complex-exponential decay tau more or less in the few hundred microsecond range. The complex decay is an infinite sum of exponentials as the magnetic fields soak into the shunt matarial, eddy-current wise. It's one of those ugly diffusion things. It's hard to make shunts or heatsunk power/wirewound resistors that have clean transient response. Vishay makes some super-precise metal foil power resistors, 4-wire in a TO-3 can, that have 100% overshoot on a current step, decay in the 500 usec range. I was impressed; then I started making my own shunts.
If you tuck the sense wires in close to the shunt intill they meet in the middle, and then bring them out as a twisted pair, that minimizes the effect, but most shunt geometries limit the improvement. There's also the common-mode/ground-loop issue.
John