Quite simply because if they cut wages, those people with cut wages would just leave. And then they would have a mass walk-out on their hands.
It's also worth mentioning that we already see this sort of thing on a much narrower scale with auto and airline unions. They are often willing to accept wage cuts because their options elsewhere tend to be pretty slim.
There are other contributing factors as well. I imagine that in an exceptionally bleak economy workers would be more willing to accept a pay cut if it meant job security.