I've not been to KFC myself for quite a spell, but I don't see a problem with their buckets spelling out "Kentucky Fried Chicken." The company does still retain the trademark on the latter string, regardless of the official corporate name. Also, see the following article about the company's name changes over the years:
KFC/Kentucky Fried Chicken
Since Kentucky Fried Chicken changed its name to KFC in 1991, where did that bucket come from? Is it a prop like the fool Cohen stuffing his ugly face?