Navigation lighting on a 13-footer was often an option.
As discussed in the FAQ at Q4, the he wiring for the combined sidelight lamp at the bow is carried inside the hull in small boats made prior to c.1972.
https://continuouswave.com/whaler/reference/FAQ/#Q4The wiring usually exits at the terminal strip aft near the transom.
In Figure 1 there is not enough detail to see if there is a circuit from the bow that is connected to the terminals.
Give a better view of the terminal strip.
Based what can be seen in Figure 1, it appears that two external cables are terminated on the two-pole terminal strip. Also, the position of that terminal strip appears odd. Usually the terminal strip is located on the inwale or cockpit bulwark, and the hidden wiring from the combined sidelights lamp connects to the terminal strip.
Continuing to refer to Figure 1, one cable has a connector with two sockets. The other cable has a connector with four pole connector with four pins.
Referring to Figure 2, something else in the boat--perhaps a pole lamp for the white all-round light--has a two-pole connector with pins. My inference is that cable is intended to mate with the two-pole connector with sockets at the terminal strip.
If there is nothing wired to the pull-switch at the console, then that switch cannot control the navigation lighting.
Is there another connector on the boat that has four-poles and has sockets?