It's going to depend a bit on the place. If they're insured or have the resources, they will replace. My father is working at a butcher shop on Long Island, and they spent yesterday tossing everything, cleaning out, and today restocking.
If they're not insured, they're supposed to, but you never really know. And also, they're relying on their suppliers to have done the right thing.
So for me, I'd not go overboard on eating meat for a little bit. It's the easiest to spoil, and the most expensive to replace. Most NYC food businesses are used to taking precautions to please the food inspectors, so most will be compliant. If you're super concerned, might be a better time to stick to chain restaurants or places with high turnover, but you never know who is most likely to cheat.