The owner of the deli was one of several restaurant proprietors in Springfield who plotted to exact revenge on Homer for giving their restaurants bad reviews, although he was not willing to go as far as to assassinate him.
Behind the Laughter
This is based on the real Izzy's Deli in Cincinnati, Ohio, famous for the complimentary pickles Bart references. You can see Izzy Kadetz (the real owner) behind the counter, and his wife Rose is the waitress. They were famous for arguing with each other and being snarky with customers as mentioned by Rose when she responds to Bart sarcastically, "Watch how fast I go" as she mosies away from their table. Their menu is emblazoned with the actual old-style logo from the restaurant. It still exists today and has many additional locations in the Cincinnati area.