My method for lubricating Bowden cables is to move the mechanism so all the cable inner is sticking out at one end - that is, either full choke, or switched off. Then hold the engine so the cable runs vertically down from the end with the exposed cable inner. Put a drop of oil on the inner cable where it sticks out, and operate the cable full stroke a few times. Then put on another drop and do it gain. Proceed that way until the cable inner is wet at the far end as well, due to oil running the whole length of the cable.
