If that's the place I think it is I've been there more than once, with Civi's and Strippers. That name doesn't sound familiar, but the location does and there can't be too many places like that around here.
To steal Mate's term, I see it as a nothing burger. There are certainly people who go way too far with the whole "fur baby" and "fur mamma" shit, and I'll agree that is off putting in a candidate for a serious relationship. But the scenario you describe is far from that territory, and for a stripper I absolutely couldn't care less. While I can't see myself doing that sort of thing for my own dog, I'd have no problem buying a Civi's dog some ice cream if I thought it increased my chances of getting laid.
And on the list of things strippers could ask for, a $10 ice cream for their dog is absolutely a non-issue. For a lot of the girls I see OTC, it's exactly those kind of little things that help them feel comfortable doing what they're doing, which makes for a much better time when they're doing them.
Now, if she wanted to share the ice cream cone with the dog, then we're into problematic territory for sanitary reasons. I just can't trust the hygiene of people who do that sort of thing.