Local burger place claims they serve Coca-Cola but they don't, do I have a legal case against them?

This is kind of a hijack, but one random detail I noticed in the montage at the beginning of The Bear episode “Review” is that the guy scrubbing the windows of the Italian beef shop at 1:31 is scrubbing an RC Cola sign. That kind of made me wonder if RC was a Chicago thing. But it sounds like it’s not, just a mom & pop cost savings thing.