We find that the effect on exit from unemployment occurs primarily through a reduction in labor force exits rather than through exit to employment (job finding). This is important because it implies that extended benefits do not delay the time to re-employment substantially and so do not have first-order efficiency effects. The major effect of extended benefits is redistributive, providing income to job losers who would have exited the labor force otherwise (consistent with Card et al. 2007).
In other words, if a significant decline in unemployment benefits comes to pass, we may well see another bump downward in the labor force participation rate. Although a decline in LFP associated with the expiration of extended UI benefits would fall in Dunne and Terry’s nondemographic category, the Farber and Valletta results suggest that we should interpret any such decline as structural. And structural in this case means not directly amenable to correction by policies aimed at stimulating spending.
My guess is that once the Fed realized the effect on headline U-3 from the cancellation of extended benefits that was when we saw them back away from the 6.5% UE target for cessation of easing. The rest of the article is d4ense "fedspeak" but interesting.