M38A1 timing...?

[Casey B]

Got it all apart with heat and have clean the rust off gently with oil adn sone very fine steel wool but not where the shaft is or parts that turn.
Wondering what type of lube to use on it white lithium grease or an engine oil?
I see the oil galleries and grooves for it but wondered about the spinning motion may fling the oil off?
Looked like crusty caked on grease in the grooves and the inner shaft.
So far so good...Casey