I've been reading, but haven't jumped in yet. Rather than quote a bunch of comments, I'll respond to snippets I remember.The mere fact that the thread is going as it is shows there's no clear answer, so each opinion is just that.
I haven't actually made up my mind yet. Both sides make great arguments. I'll narrow it down as I type this. We each use our own logic and reasoning in making decisions. Well, here's mine:
While 24" is the traditional countertop depth, it's not etched in stone (pardon the pun), so the only reason the red line 24" from the wall is the magic line is because that's the depth of the countertop(s) flanking the peninsula.
If there's no flanking countertop, then what defines the distance from the wall where a peninsula receptacle is needed? The depth of the other countertops in the room? What if there are different depths in different areas?
Then, what defines a peninsula? A 1" projection, or 2"? A foot? Whether or not there are cabinets beneath? What if the peninsula was a floating, cantilevered countertop? Where would you put a second (non-wall) receptacle?
Then again, what about the other way? If there is a receptacle on the end of a stand-alone peninsula, must there still be a receptacle where the end of the peninsula butts the wall? Or is the one on the peninsula enough?
What about the example given of a peninsula that happens to adjoin a run of wall countertops right between two compliantly-spaced receptacles? Can an additional wall receptacle, centered on the peninsula, serve it?
No horizontal distances above the countertop are specified for peninsula receptacles, only that there must be one in addition to the required wall-space-serving ones. The stand-alone peninsula has no such wall space.
If you say there should be a wall-mounted receptacle for a peninsula even if there is no perpendicular wall-space counter-top, then that receptacle obviously already serves the peninsula, bringing us back to the beginning.
So, my vote is Pic 1, the stand-alone peninsula, can be served by either a wall receptacle or a peninsula one, while Pic 2 with the cabinets along the wall, needs a peninsula receptacle whether there's one on the wall or not.