Did some testing last night with an AST and I found a small way to make big changes is getting Spear cards. For those who never play healer and dont know what cards look like (other than balance), Spear is a CD reduction card. Spear reduces our recast timers for jumps, b4b, dragon sight, etc, by 20% (30% if they royal roaded). Since we are waiting on our Jumps for LoTD anyway, this helps us get our Nastrond significantly quicker. Getting a Spear on pull I was able to get my LotD and Nastrond up in just over 50 secs compared to the normal 80 secs.
The downfalls I see are 1) if you get them mid fight, it may throw off alignment of other oGCDs, 2) an AST probably wont Royal Road your Spear (increasing potency) 3) and most AST will burn a Spear for a Balance to give to the SAM.