Eric, I don't think there's anything wrong with #10 at Bandon Dunes at all. The hole just asks you to hit your tee ball about 30 yards left of where you instinctively want to hit it, straight at the flagstick. From well left it's an easy short iron second. From right in front it's a daunting pitch that's tough to get close.
To me that's not quirk, that's strategic golf design.
Bill, I know I'm likely in the minority around here with my opinion of BD#10, but I think that with the fairway bunkers, the hillock, and the little swale behind the hillock, the hole is "over-featured." The hillock that blinds the second shot to those who go right off the tee is the quirky part to me--you don't see that feature very often, do you? The hole would look better on the part of the golf course it occupies, and play better, with a more subtle feature to give you trouble from the right side. As it is it looks contrived to me.
Is hitting it left off the tee a request, as you put it, or is it dictated by the lack of reward for taking on the straight path? Seems to me there's really only one way to properly play the hole. The only reasons you end up right after your first time are you've made a mistake or you're a glutton for punishment.
By contrast BD#11 is a terrific strategic hole. Go straight at the flag and take your chances with the bunkers left (tastefully done and much more natural-looking), or play it safe to the right and deal with a longer iron shot, deep greenside bunkering and a green that's really hard to hold from that angle. Some players want no part of those fairway bunkers left, and have a true option--play it safe down the right, and try to get up and down if you miss the green.