+1 on this - no to white lithium. I've tried all sorts of greases over the years - red grease, white lithium, black moly, long fiber greases, marine grease. I've never been happy with them.
My choice: an aluminum complex disc brake wheel bearing grease. Sta-Lub and Lubrimatic both have it. Completely waterproof, won't wash out, extreme pressure and temperature rating, relatively inexpensive ($5 for a 14 oz tub), long lasting amd won't harden or cake-up. One grease for all bike bearings (not 3 speed hubs, though). Just my humble opinion.