That may be valid for who applied Employment based GC
It is quesionable and argumentable for who applied Employment based GC but not for spouse.
Spouse can avail position on the open market. the spouse does have all the facility what green card holder has.
But the one who applied GC needs to have a job or atleast future job to qualify for the permanent residency.
So, i think the person who applied GC also claim unemployment, but cautious and find the job asap to become eligible for GC