My DC was accepted off of the WL at a school that is very popular on this forum. The WL letter did not identify DC as being on a FA wait list, but DC was WL and we had applied for FA. Anyway, I thought the AD's words were revealing and may give you some guidance so I will share them here.
The AD called a few days after deposits were due for new families and said, "this just came across my table... and I have an offer of X amount in FA" . Now, I assume that what came across the AD's table was a decline from another family and the "I have X in FA" was the amount of FA the declining family had been offered.
Perhaps that gives you some idea....