Robin,
There are numerous blind shots at (old) Machrihanish, too. But they are not at all irritating, because they are not blind shots to a potentially lost ball. That is to say, your (blind) target is well enough defined that you know you will find your ball if you keep your shot within a certain width. For example, the tee shot on #3 follows the fairway over a ridge, but you know that if your ball is within the fairway width as it disappears, it will be fine.
This in in contrast to many other courses with blind shots. I know a hole on a well-known course that has a blind tee shot over a hill shaped so that your ball may bounce right into gunk or left into marsh, and half the time you won't really have a clue as to which side to search. This same hole doubles this irritation with a blind second shot which might bounce into the marsh or might just as possibly be lost forever in one of several Cousin Its in the landing zone. Thus your only rules-complying option for a lost ball is a walk back.
Which type would you say that the blind shots at Machrihanish Dunes more resemble ?