Maybe it's translated to English -- a conductor's baton in French is a baguette after all.

Lived with a French guy in college and have found it's easy to mistake "baton" with "putain".

Very helpful photo there. The ladies appear to have nearly empty baguettes from the angle of the photo. This reminds me of the French derived Banh Mi that is available in areas of California and Texas that I have lived due to the expat Vietnamese populations.

A baton is a "stick" in French. We do not use it for food, and the british are often using random French words to sound fancy.

Yes, that’s definitely the Copper Kettle.

More interesting than the food, though, is the background. Those who aren’t familiar with Cambridge will see King’s College in the background, across the street, which many may know from the BBC’s Carols from King’s.

They're baguettes. It would be super weird to have a hotdog in a cafe like that.

There are two lengths I'm familiar with though I'm not an expert, the short for regular hot dogs one commonly sees on supermarket shelves in the USA and the long for foot long hot dogs and those breads in the photograph appear longer than the long or maybe just much wider than the long ones I've seen. Also, having a hot dog at a sit down restaurant would be slightly unusual for two adults in my experience, it's more a street/fair food or sports audience vendor food for people on the go that is easily eaten without a plate and utensils for the most part.