I'll be curious to pop the side logo-caps off one of the new Speed Kings and see what type lubricant is used.
Although some SK gurus will disagree with me, I maintain that an easy way to speed up an aging SK is to remove all that thick grease - it's so 1930s, ha! - and replace it with a modern teflon- or silicone-based aerosol light lubricant, available at any hardware store.
With the possible exception of Phil Collins' pedal, a SK doesn't develop enough speed, heat, nor pressure to warrant the use of grease as a lubricant, IMO. If you are a grease guy and just gotta use some, put a very light film of white lithium grease (commercial name is Lubriplate, available at hardware and boating stores) where you have metal-to-metal contact: on the top of the two pushrods that interact with the "cams." Try it, I bet you'll like it.