I think the misunderstanding comes from the different types of legislation we are used to. According to
Wikipedia :"Assault is a crime of violence against another person. In some jurisdictions, assault is used to refer to the actual violence, while in other jurisdictions (e.g. some in the United States, England and Wales), assault refers only to the threat of violence, while the actual violence is battery."
In most Western European jurisdictions, assault is considered as the actual violence (including verbal one).