The spindle grease/lubricant is much closer by far and it might be just fine. 00 will be notably more fluid than 0 grease. 0 is what I might compare to yogurt or maybe mayonnaise. Sour cream? The one thing I like about the corn head grease is it does have extra additives for friction protection. I'm not sure about what the cotton picker lube has...cotton picking is a whole lot different from corn picking. More bolls to gather, goes faster, very little weight, much lighter stems, etc so there's that. Probably just between the two would be an ideal spot.
