Yes, but that only matters when the worker in question is faced with the
choice of whether to work or not. Right now unemployment is through the roof because effectively all the service jobs have evaporated. There are no jobs. No one is sitting home savoring their cushy $600 benefits bonus instead of working, because there is nowhere to work anyway.
The argument against generous "unemployment insurance" vs. "UBI" is valid enough. But it's based on an assumption of near-full employment that doesn't hold right now.
Basically: this is not the time to have that argument.