I have cleaned and lubed the throttle and 'choke' cables, even though I've been told it will ruin them .
I remove the cables from the bike, take a 'fold and close' sandwich bag, and cut one corner out of bottom, insert the cable into the bag, wrap the bag around the cable, and then secure with a ty-wrap .
I then tape the plastic bag to a work table and then place a drip pan under the cables .
To clean the cables, I put an ounce or two of isopropyl alcohol into the bag, and then move the cable up and down to get the liquid moving down the cable, repeat until the alcohol comes out clean .
To lube the cable, I put a cable lube, or light oil in the bag, and then move the cable to get the oil moving down the cable, then just wait until all the oil flowed down the cable .
This method also works on the clutch cable, and the speedometer drive cable , only difference with the speedometer cable, is I put the cable end into a cordless drillmotor, and rotate the cable while adding the alcohol to clean it .
In my opinion, you don't need any grease or oil in the splitter cavity, as the plastic part that the cables attach to, doesn't touch anything in there, and it just makes it a bit more work to clean it up when you do open it up .