Progressive Politics

Not immediately

Unlike executive branch agencies, the federal courts can continue operations for about two weeks following a government shutdown. When a shutdown loomed in September 2019, the U.S. federal courts confirmed they could use reserve or carryover funds accumulated from various revenue sources not dependent on Congress, such as case filing fees. When courts are on notice that a government shutdown may be looming, they can take steps to conserve funds by deferring non-critical expenses — for example, by curbing travel, new hires, and certain contracts.

https://judicialstudies.duke.edu/2024/05/how-a-u-s-government-shutdown-impacts-courts-access-to-justice/

Plus voting in favor of this CR would be codifying much of what these cases are about. Many of the illegal spending cuts would become legal until September making the cases moot.

It would also fuck over DC local government in a way the executive branch cannot easily do. Congress can control DC budgets but very little of the DC budget comes from federal money (<1%) where Trump could mess with. The CR has a clause to cut $1 billion from their budget despite that not saving the federal government any money