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As a diagnostic it can tell you if there is a broken winding or an internal short in the coil ... but beware of using it for any comparative purposes between pickups for 'power' etc.
Resistance is both a measure of the length of wire used ... that is how many turns, and the gauge of wire used. Turns count for power not gauge ... so when very fine wire is used the resistance figure is very high ... though the actual loudness may be not much greater than a pickup with, for example, half its DC resistance.
Formerly TheGuitarWeasel ... Oil City Pickups ... Oil City Blog 7 String.org profile and message
Resistance has bugger all to do with 'power' or loudness, that is better referenced by millivolts output and inductance.
Note: subjective loudness can also more to do with what frequencies a pickup is allowing through than sheer millivolts grunt.
Formerly TheGuitarWeasel ... Oil City Pickups ... Oil City Blog 7 String.org profile and message
Yup ... you can't get 12.8k worth of 42awg wire on a standard humbucker bobbin ... so to get the number of turns we want for a design we go down to the next size: 43awg which is higher resistance ... but as you say ... not a whole pile louder in actual terms.
Formerly TheGuitarWeasel ... Oil City Pickups ... Oil City Blog 7 String.org profile and message