The ONLY advantage I can see for playing first is to "put pressure on your opponent" by hitting a great shot. I can't imagine this scenario actually comes into play in a real world match situation more than once or twice, and that's assuming your opponent is actually going to be 'bothered' by your perfect first drive.
In almost every other situation, it's advantageous to hit 2nd. Merely from you having the knowledge. You have knowledge that your opponent does not have. I'm not talking about whether he hit a 6i or 7i off the tee on a par 3. Or even if the wind is swirling, or more direct near the green. I'm speaking directly of having the knowledge of how your opponent played it (Driver, 3 wood or Long Iron), how aggressive he was (Did he hit to the middle of the fairway, did he cut the corner on a dogleg, etc) and how successful he was with the shot (is he in the fairway, waste bunker, thick rough, water, OB, etc).
All of that information is power. And it can all be used strategically to plan your attack. (Do you have to hit driver, or can you play it safe?) You now know that if your opponent is in trouble, and simple par will win the hole, and can play accordingly. Your opponent did NOT have any of that information when he teed first. He was paying his drive 'blind' so-to-speak. In match play, I think you need to play the opponent, as much as you play the course. His mistakes, however slight, should be information you use to plan your course strategy.
I honestly can't see how anyone can say hitting 2nd isn't an advantage. The simple fact that you have a ton of information that your opponent did not, is a huge advantage.
You have information that your opponent did not. Advantage you.
'Putting pressure' on your opponent (or vice versa) by hitting a great drive, seems kinda nonsense to me. Also, I think that if it does factor in, it probably does less times per round.
This debate is basically pointless, as the winner will never have the option to hit 2nd. But, I'm finding it hard to believe that hitting first is an advantage in match play.