Actually, we didn't find a single counter service to be WITHOUT dessert last year.
Everywhere we went, they offered at least two to three choices for dessert. Usually a pre-packaged little chocolate cake, cheesecake, strawberry shortcake, or carrot cake. Sometimes there would be cookies, too.
I was allowed to have applesauce or fresh fruit as my dessert if they offered it as a side item or with a kids meal on the menu.