" The AA recovery man described it as the alternator breaking down under load "
He might be right; there again, he might be wrong - most of these folks out on the road nowadays with the AA/RAC are quick to get you off the highway and less inclined to fix modern, complex vehicles on the side of the road.
Generally, they are even less keen when called out to a bike, even one with old school technology!
Anyway, for your current issue, you should explain if the engine is running when you check the symptoms; basically, provide as much relevant information as possible.
The state of charge/discharge of the battery depends on such factors.
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Dave
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