Running can be incorporated into drills and conditioning if done correctly...if the goal is to get cardio. Cone drills with sprints, sprinting from station to station, ladder drills, etc. Running just to run is lazy coaching.
Right now DD's team only needs to work on running from the batter's box back to the dugout.Catchers need leg work. The rest of the team needs to run 120ft.
Learning to run faster is a different story