Yeah Mantis I think that individual items in alt shot and /or match play should count toward your stats. For example a long drive is a long drive no matter what the game play. Birdies and eagles are team scores in alt shot and should not count, even in match play where they can be conceded they should not count.
An ace is an ace no matter the game type (as long as ranked) and why that doesn't count I have no idea.