I probably spent a good hour thinking about this silly turn, going back and forth on it.

1. I'm fairly certain based off the diagonal yellow lines that they don't want you turning left there.
2. After driving in parking lots my entire adult life, I'm confident that some people still take a left here.

I came to the conclusion it doesn't matter.  Based off the square's layout, I was having trouble coming up with any realistic routes that would use or significantly benefit from the turn.

So I'm erring on the side of caution and not allowing it.