It's really not a stroke play/match play issue. This same guy would likely be just as frustrated if he was in a match and felt like he was hitting great shots at the flag all day long but never had good opportunities for birdie. Hell, he might have been even more frustrated because he would be, potentially, losing holes to some guy not hitting it right at the flag every time.
This player's issue is he thinks that hitting it straight at the hole is always the ideal line. Of course it's not, not even on many holes with a lot less quirk than seems to exist (I've only seen photos tours) at OM. OM is the style of course that rewards study and multiple plays for a player to discover the best places to miss a shot, and when it is OK or not OK to go right at the pin. That attitude isn't born out of a stroke play mindset, just one that doesn't appreciate quirk or any kind of challenge that isn't inherently straightforward.
Ultimately, not every "good shot" will be rewarded. Consider the two player's experiences at 14 on Pebble Beach a few Sundays ago. Mickelson and Points both hit approach shots that just cleared the bunker in front and hit in the rough in front of the putting surface. Points' ball took a soft hop and rolled into the hole for an eagle. Phil's ball hit hard and kicked all the way down the slop on the left leading to a bogey. Both players were trying to hit the same kind of shot--one that landed as close to the front of that green, maybe even in the rough over the bunker, as possible. Both hit that shot. The two couldn't have landed more than a couple yards apart. But would we say that the 14th at pebble doesn't reward good shots? of course not. Quirk is a part of the game of golf.
With that said, any player who tried to land their ball right next to the flag on the 14th at Pebble that day would not have been able to hold the green. The player in question might find that unfair, but only if he's playing completely ignorant of the hole as it exists. It sounds like that may have been the case for his round at OM.