I don't know what type of account was used by WMI to replenish the ATMs and cover withdrawls in the bank runs and if customer deposits were used.
My guess is that the 4 billion deposit would be considered a part of the liquidity.
Kirsten said in an interview that she has looked over the liquidity reports that were sent to the OTS by WMI/WMB in September 2008 and based on those reports and other interviews with executives WaMu had more than sufficient liquidity.
WMI lawyers and Kirsten would know what made up the 29 billion in liquidity and so far she hasn't broken it down for the public yet.