It’s not the cooked chicken that is the problem, it’s the improperly disinfected prep surfaces that cross contaminate food that isn’t going to get cooked.
Reusing a cutting to make salad after a quick rinse under running water is not smart.
Or storing raw meats above produce in the fridge, where leaking liquids from the packages might drip into the lettuce.
This is one of the reasons I don't do uncooked salads. Everything I prepare involves bringing the ingredients to at least 160F.
That is why I buy Chlorox.