those round pump motor boards

If its a current sense then it would need to be a low value. It can be used for direct control or possibly a overload or whatever detector.
I kind of wonder if a reasonable plan could be made to put in reasonable values and test it.
If the resistor is too big, the control loop will say that its getting enough energy when its not getting enough energy. If its too small it will run it at absolute maximum because its not getting feedback.
It seems logical that you can start at a too high value and step down until you get something that makes it work.
With a too big resistor, so long it does not exceed the voltage input of the amplifier, it should just stall or run at way too low power. If you go way too slow it seems that it could go into some kind of overload condition.
I would figure out what a reasonable guess at the maximum current is, and then put in a part that is reasonably a bit too much voltage drop for the circuit, and see what it does. Then step it down slowly.
They probobly won't have a power supply that is too much more powerful then it needs to be because it looks compact. This should give you a voltage and current maximum, and make it possible to choose a reasonable guess resistor.
People that know motors might be able to tell you a guesstimate about the motor requirements too based on the magnet wire size, inductance of the winding, configuration.
The tricky part might be the inrush. It might be handled by filtering, leading edge blanking, or actually measured. If its substantial then your guess at the shunt might be fortunately way too big. If they actually measure the inrush and respond to it, then you might end up having a rather unusually small shunt value, because it will throw the average operating conditions off. I would figure they are likely to use some trick to get rid of that 'bogus' current reading, because it would kill the dynamic range of control , I don't think anyone would try to measure it for a rotation pump, maybe they would for a precision motion control system (positioner motor), but who cares exactly how it starts if it just needs to spin, its not useful to know that information. Since its all well lubricated and stuff, I don't think it has a requirement to 'break free' too much, meaning they probobly ramp it as slowly as possible to preserve the mechanics, which makes me think a shunt based on maximum control near the setpoint.