No, it's not a very common type of story. Most stories focus on more traditional forms of punishment like grounding or extra chores.
I don't think it's common. Usually, when we think of punishment stories, we think of things like losing privileges or being sent to the corner. A bath as a punishment is quite unusual. However, it could be a unique family tradition or a fictional concept in a very specific type of literature.
It's not common at all. Traditional punishment stories often involve things like having to write lines, clean the whole house or apologize publicly. The idea of a bath as a punishment is rather odd and not something you'd typically find in mainstream stories. Maybe in some very niche family - centered or cultural stories, but not on a wide scale.