Perhaps this answers my question:
"The quality of Markman decisions in district courts can be improved by allowing interlocutory appeal of Markman decisions. District court patent claim interpretations frequently are overturned by the Federal Circuit. For instance, in the period from 1996 to 2003, 35% of district court claim interpretations were overturned by the Federal Circuit. The inconsistent claim interpretations between the district court and the Federal Circuit are representative of how the current system has a deleterious impact on the patent system and how the current procedures create uncertainty and imbalance between the parties."
Two out of three isn't bad, but I don't know what level court will be holding our Markman Hearing.