First, keep in mind that most tabulated BDEs assume a homolytic cleavage of the bond. Dissociation of an acid is a heterolytic cleavage. The energy it takes to homolytically cleave a bond is different from that required for heterolytic cleavage, especially considering.... Second, acidity is a solution-phase process, and therefore involves, among other things, the ability of the product ions to be solvated (enthalpy and entropy). Such effects typically have no relation to the (homolytic) BDEs. Therefore, while BDEs can be used to understand many things, correlations to the relative favorability of chemical processes are not always good.