However, wage stickness is true even without those influences... Workers just don't take pay cuts well. It does happen, but... the market is very resistant to it. It depends on the industry and so forth, of course, but on average, that's the case.
For sure, although the normal outcome is not a pay cut, but reduced hours. And sometimes collective bargaining helps, where everyone is willing to take pay cuts rather than lose some of the staff.That said, industries where employee pay is allowed to vary will have fewer jobs lost. The appraisal firm where I worked adjusted pay downward in late 2007. The appraisers didn't like it, but they understood, and thankfully no government or union officials came in and said "No, you can't do that". The alternatives would have been to fire half of the office or to go out of business.
Believe it or not, the government isn't responsible for every single undesirable thing that happens (if you can call the wage stickyness undesirable - I don't.)
Keep in mind that one central reason for this is not because labor costs too much, but because work is falling off. One way or another, it causes excess labor. Paying less doesn't fix the systemic problem.