As for the planchet being thinner in one spot, that makes "zero" sense when looking at the OP's coin. When a planchet is tapered, and it does happen, the weakness of the strike is on both sides of the coin since the metal of the planchet was not thick enough fill the recesses of either die.
This coin is weak on one side and very normal on the other. It had to be struck through "grease"
Also, when a coin like a cent goes through the upset mill to create a proto-rim, as it is called, there is a slight rim before the planchet enters the striking chamber. If the glob of lubricant overlapped the area where the rim was struck, the rim would be effected as much as the surface of the coin. The rim would not be obliterated as it was essentially there before the planchet entered the coining chamber of the coin press.
This coin is weak on one side and very normal on the other. It had to be struck through "grease"
Also, when a coin like a cent goes through the upset mill to create a proto-rim, as it is called, there is a slight rim before the planchet enters the striking chamber. If the glob of lubricant overlapped the area where the rim was struck, the rim would be effected as much as the surface of the coin. The rim would not be obliterated as it was essentially there before the planchet entered the coining chamber of the coin press.

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