Not at all. It means less nominal wage growth. That can and does happen without an increase in even job losses, let alone unemployment. (You can have job losses with constant or even increasing employment.)
It’s literally what we’re seeing right now. It’s not the norm, but it’s precedented[1], most recently in America in the 90s.
Also job numbers have been incredibly good so it's not even generally true unemployment is increasing outside of sectors that are incredibly susceptible to fears of recession.
I don't think that is a major difference to someone who is laid off because of intentional decisions that the fed makes to effect an outcome, knowing that layoffs will be a consequence.
The difference between being laid off and having job offers versus going onto a growing roll of the unemployed is major. We're not seeing a meaningful increase in unemployment [1][2].
Softening of labor conditions is pretty directly saying "Increase unemployment".
> and why cuts are so cautious.
They're so cautious because they want to hit the right amount of increased unemployment, not that they don't want unemployment to go up at all.