Normally the left front and right front signal wires do not get crimped together. Maybe that's how your signal switch is set up?
Sounds like you identified the wires and yes the park lamps get wired to the terminal block.
I will add this. My parking lamps were found to be wired opposite. For instance the black wire was brighter on the left but the green was brighter on The right. A mistake in assembly I guess. That's why I suggested testing both sides to confirm.