So in terms of volume, this isn't much. In terms of potential effects, it becomes a question of how well players utilize their teams' two challenges (teams retain challenges if they correctly use them, but only the batter, the catcher, and the pitcher can request a challenge).
It all becomes an interesting question in terms of strategies. A catcher when he's batting? Does he want to risk one of his team's challenges as a batter that he might want for his pitcher? A mediocre hitter in a low-stakes situation? Does he want to risk one of his team's challenges? What about a really good hitter in a low-stakes situation? Lots here for teams to consider, and since it's up to the players to decide on a challenge (not managers or coaches), teams will have to determine their approaches such that players can make decisions without assistance.