318 with Carter 2-bbl fuel leak through throttle shaft after hot engine shut-down

Make sure the n/seat is not leaking. A small leak might not be noticeable with a running engine because the engine will run richer, but use that fuel. Switching off a hot engine that has higher than normal fuel level might heat the fuel enough to expand & enter the booster....& drip onto the t/shaft. A fuel pump that holds pressure after switch-off can also do this.