On my Garcia reels that have multiple drag washers, grease is not used on them. Grease is for the gears. I use gun grease for the gears. I have repaired many 5000 to 6500 series Garcia reels, and not one of them called for grease to be on the drags. If the drag washers get saturated with grease or oil, the drag system won't work right. Hate it when I have a 20 pound fish on, and the drag starts skipping and grabbing.
Never worked on those big deep sea fishing reels, so they may be totally different.