How should economists think about tariff refunds as a cash-flow and pricing event for firms?

I’m trying to understand how economists would frame large-scale tariff refunds from the perspective of firms and markets.

If companies recover duties that were previously paid, does that mainly affect short-term cash flow, or can it meaningfully alter pricing decisions, margins, inventory behavior, and capital allocation? I’m asking because the new U.S. refund system seems large enough to matter beyond just the legal side of the story.