Does "going to eat ice cream" have a different meaning with this teitoku?
No, it's more because it was all a joke from Uzuki but he took it as though she was really complimenting him and wanted to treat her to ice cream leading to Uzuki crushed by guilt.
UZUKIReally... Sorry...pyon...Erm....Hahaha! I'm so happy! Right! You want to go eat some icecream?!Uzuki looks extremely cute too!Maaan, was my new pomade that good?Coman~der, today you look extremely superb~!Thank you!...Just kidding. It's a joke-pyo...hnguh!