It is normal if you have lost one or two coils producing power either at the stator or the rectifier/regulator that if you further unload it, say by unplugging the headlight, that the voltage will come up some.
If there was a wire shorting in the headlight bucket it should have blown the main fuse shouldn't it have?
The crippled charge circuitry will make as much electricity as it can and fall short. If you remove some load then the voltage will climb.
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