I'm with Slayer/Kotz.  You had 60 minutes to win the game in regulation.  If you can't do it then, then not getting your offense on the field in OT is 1 of the risks you run. 
  
College football is about the spirit of competition (LOL - I know, I know), so the matching possessions make sense. 
  
For the matching possession proponents, what would be your plan?  Exactly like college?  Or only do matching if there's a score by the offense on their 1st possession?