It’s not just passing along costs. Prices are also sticky on the way down. There is no longer a chicken cutlet shortage but some stores are still upwards of $10 a pound. Costco in Brick has the family pack of empire chicken cutlets at 5.49 a pound almost half the price.
The prices on cutlets weren't raised because supply was short. Prices were raised because costs went up. Wholesale prices haven't come down, so you're not going to see prices come down in the grocery store. You'll probably actually see them continue to rise as fertilizer, feed, gas, packaging, and labor costs all continue to get more expensive. The bird flu issue is also not resolved, and likely won't be for a while.
There are many factors which go into pricing, and people need to stop assuming that they will see an immediate change once one issue is resolved.