If someone left a weekly paid job and took a monthly paid job, at the start of its payment month, they would have to tide themselves over till their first money from the new job.
I guess they'd have thought of that, though, and wouldn't move jobs if they wouldn't be able to cope.
People on benefits, or starting to claim benefits, usually haven't had any choice in the matter of whether they can cope with a long wait for money.
So the government is not "helping them to adjust" as it claims. It is creating misery for them.