First, I learned something today: I didn't know a team could not start with the ball in both halves based on their coin-toss verbiage. Why does the NFL even allow this as an option? Strategically, is there a scenario a team would decide they're better off not starting with the ball in both halves? Perhaps if the team thinks their offense is so horrendous they want to limit their time of possession to avoid turnovers, or they don't have enough offense players in uniform? Screw it. Get rid of the rule.
Second, the referees continue to prove their incompetence. By default, it should be assumed the team wants to start with the ball in the second half! Are we sure these are professional NFL referees? When does common sense prevail?