By the way, my 60CSx DOES have a selection for lithium batteries.
Ah, I think I found the discrepancy. It has a menu option for lithium-ion, not lithium (primary). The lithium-ion is a rechargeable battery, where lithium primary is a one use battery like alkaline batteries.
I just checked the flash on my 60CSx. It was 3.10. I ran the update and am now current with 3.30. No lithium primary option after the update.
-john
[Edit: I've sent a query to Garmin to clarify their position on lithium battery support for the 60CSx. Will post the results.
Note, the more people who write Garmin, the more likely they will add the support.]