Aside from the beautiful hand made art, it's one of the most portable drinking utensils you can carry. Tin is light weight and it won't bog or weigh you down on whatever trek you're on.
The appeal to owning a tin mug comes down to nostalgia. Most people that are from an older generation know that tin mugs are a popular survival's item. Especially if you're out in the wilderness. Because you can eat almost anything in them over a small campfire. And they cool off pretty fast.