Training and moving means any kind of phisical activity. It is important for human being to use every kind of functions of our phisical (and mental also) functions. It is important to do so during the same workout. Sometimes it is also OK to divide trainig different functions of our body between several trainingsessions.
It is important to keep in mind also the benefits on proper rest ( including quality sleep).
All together it can be named PaleoSport.
The key is to be functional and diverse in things and activities that we do. In order to be healthy, strong and vital.