Let me put in a vote for Dennis's point of view. To require a peninsular receptacle in picture #2 and not in picture #1 is illogical. Either the receptacle should be required in both cases or in neither case. Since everyone agrees a receptacle is required in picture #2, then it should be required in picture #1.
Think about it this way: suppose you have a peninsula like in picture #1, and then you have a run of base cabinets along the wall that start three feet away. Now move those cabinets closer and closer to the peninsula. When they hit the peninsula, you are in the situation in picture #2, and a peninsular receptacle is required. At what point did it become required? Is it required when the base cabinets are 1" away? 1' away? 3' away?
Or the same idea in a different way: suppose you have an ell shaped configuration with the short leg against the wall extending three feet past the long leg. A peninsular receptacle is required. Now shrink the short leg--when it shrinks to nothing, the majority view is that no receptacle is required. At what point did that happen?
Cheers, Wayne