Some of this reads like the "Battery" died, the battery is at fault, never buy that battery again.... oh the replacement battery died also, maybe the problem is elsewhere....sic. Plugs, hell of an environment, Piet has a good perspective, though it is a little more to observed outcomes. Pure carbon does not conduct electricity all that well, graphite does. The fluffies on the plug threaded body is the lowest temperature part of the combustion chamber. Biscuit brown nose is sign of an overall managed best setup of ignition and fuel/air cylinder load. Managed being the key word.
Seen on my test jig, the surface tracking of ionic current travelling like a snake, down the nose of a contaminated plug. Not even close to bridging the outer electrode to the inner electrode, gap.
Correct operating temperature of the plug is important, if your fuelling is not optimum ( difficult across cold crank starts to redline/loaded ) and you are mucking about with imagined ignition curve profile, then your optimal plug operating environment is any thing but. Quick. blame the plug.... deary me. Mind you i did have a hard time with brand new Bosch W22 ( check the part number, use them for reference to show customers how a bad plug behaves ) on a fresh ignition installation, iis. Nightmare would be more the call. j