It's a hard thing to put aside personal feelings and see the national economy as it might appear on a gigantic spreadsheet. No value judgements. Just calculations and a final GDP result.
Think money multipliers. Someone gets a $350 unemployment check. What does he do? Save it?
Yeah right! He spends it in a heartbeat. And spreading that money around creates jobs and increases profits for businesses. And then they spend the extra money they made. And so on and so on.
I'm not strongly in favor of extending benefits by any means, but it's a form of stimulus and stimulus is a good thing during economic downturns.