Sounds like your electrical system is operating perfectly fine. I suspect the issues is that the warning light is not calibrated properly. There may be an adjustment on the back of the cluster if it really bothers you. It shouldn't light up unless the voltage is below 12.5v.
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Electrician & Electronics Tech
2014 Honda CB500XA
2016 CSC TT250
1976 Honda CJ360T
2022 Honda Navi
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