If you get new dollars first when they're more valuable, life is TOTALLY RAD. You get to spend the new money before it works its way through the system. So you're spending post-inflation money but getting pre-inflation prices. Yum.
If you don't get the new dollars first then what tends to happen is that your costs go up before your income does. This is not a good situation for a business to be in and it's not good for an individual either.
Imagine that you are trying to make a startup work and every month your COGS goes up 10% but you can only increase the prices you charge on a 6-18 month lag. You might run out of cash covering your increased costs long before you can raise your prices and make up the difference.
This is roughly how household finances have been playing out for quite a few years now. At least ~40 or so years since Nixon closed the gold window, but maybe up to ~100 years since the founding of the Fed.
EDIT: If you want to downvote me could you at least tell me why? I'd like to be a good citizen on HN and downvotes without comment don't explain anything.