I'm sure everyone is getting sick of my posts on Oakmont, but using your criteria, Oakmont is much more of the second type than the first.
The first method utilizes overt techniques such as absolute length, narrow fairways with trees and bunkers pinching landing areas, narrow openings to greens, acute slopes and internal contours on greens, deep bunkering and the like.
Oakmont certainly doesn't rely on absolute length, there are almost no trees left, the fairway bunkers don't really pinch down fairways, and many greens have wide openings. The fairway width doesn't seem narrow in an absolute sense to me, either, but I haven't seen the other courses you reference in person, so I could certainly be wrong about this.
On the other hand,
The second method is not nearly so easy to figure out. This includes taking prevailing winds into account, perceptual miscues, shot testing set ups including uneven lies, reverse canting to the shot demand, lines of instinct differing from ideal lines of play, front to back slopes of greens, and the use of near and far fairway lines to ehance tee shot demands...
I don't know that there really is much of a prevailing wind, as the routing tends to loop all over the place, and every hole save a few is highly exposed to the effects of the wind. There are certainly perception miscues, uneven lies abound, and there are more good front to back sloping greens than any other course I'm aware of. I think the lines of instinct do differ from ideal lines as well, but I'd have to think more about that.
I agree wholeheartedly with your premise regarding different types of tests. A lot of it boils down to subtle tests versus overt tests, "direct tax" versus "indirect tax" of misplays, etc. I just think that Oakmont gets miscast as a first category-type test, when in reality it is more of a second category test (using your categories).