The Ω/V value of an analog DC meter movement is the reciprocal of the full scale current. The meter movement is driven by the current flowing through it. Note the attached images to get an idea with a focus on the old Simpson 270 meter. The full scale current for just the meter movement is 50uA so if we take 1 / 50uA we get 20,000 Ω/V which is the sensitivity of the meter movement. That is the relationship between full scale current and Ω/V.
Most analog meters have either their full scale current or their Ω/V on the meter face somewhere, I say most as not all meter movements have that information on their meter face.
Obviously to reduce loading effect when the meter is placed in the circuit the higher the Ω/Volt rating the better. So in the attached images the old Simpson 269 is the superior meter.
Does that help?
Ron