I had both rigs but only used the 70-200 for 99% of the shots. I'll leave the wide angle rig at home the next time I shoot any of these sports.
I stood in the dugout for baseball pictures and in the court for some of the tennis. For softball I mostly shot over the fence on the third base line, the other fence was too high and the dugouts were behind a fence.
Since I was working for Olympic League I did not need to write cut lines or hunt down the rosters.