Neither of those are monetary factors. If wage inflation was related to participation rate it would have been an issue since participation peaked in 1999.
In fact, participation rate was almost as low as it is now back in '80 when inflation was peaking--
--but the two are related in the way that the participation rate was kept low in order to fight inflation. Our happy two-decade plateau ended catastrophically in '09 and has yet to recover even with the latest labor report.
On that subject we were looking at the apparent contradiction between the -2.7% GDP and the falling unemployment rate. My thinking is that the unimproved participation rate puts paid to the jobs rate and we may not want to count on a recovering GDP for a while yet.