Is a live version cover version?

Not necessarily. A live version of a song simply means that it was recorded during a live performance, such as a concert or gig. A cover version, on the other hand, is a new recording of a song that was originally recorded by another artist. While some live versions may also be cover versions, not all live versions are covers. For example, an artist may perform a live version of one of their own songs, which would not be considered a cover version.