The ‘no pay’ part is a throwaway: it would be illegal to reduce congressional pay without an intervening election.
It’s just for show.
In fact I wish they wouldn’t include the matter even though it has political advantages.
Getting a budget from the Senate is the big thing.
Maybe they should change it to: No pay for staff and office expenses.
I think Boehner would be more effective if he would just call a recess until the senate presents a budget. (while reminding the public every day of how long its been since the democrats produced a budget)