Quassi,
You have a quite common problem!
Superintendents can be faulted particularly when they allow four(4) inches of rough to grow around greens, thereby separating their greens from the surrounding collection areas. Architects, such as Ross, did not design greens with sloping edges to have balls engulfed by rough a few feet away. Rough in close proximity to greens compromises design integrity and playability……...............................Typically, too many collection areas are buffered by higher grass cuts. Otherwise, these depressions would naturally receive more balls as intended.
Not only should this green extend and tip outward onto the down slope, but it should also merge into a lower fairway cut or fringe.
A good rule of thumb is never to let a ribbon of rough, regardless of its height, prevent a ball from running its due course into a collection area. After all, the point of these areas is to have them "in play" as opposed to having them protected by higher grasses. Integration entails cutting the grasses around the greens so that the ball will roll-out with the natural ground contours.
The same analysis applies for high fairway cuts which currently collar too many greens. More often than not, a ball gets caught-up against these collars instead of rolling-out with the natural green contours to a collection area. In this situation, a good shot is penalized. Instead of having a variety of shotmaking options (pitch, lob, chip or putt), all golfers, regardless of their skill, are required to attempt an awkward putter blade technique while still being on the green. This is foolish!
Superintendents/architects should definitely extend greens below the edge of the fill pad so that the putting surfaces tip outward onto downsloping ground. Only then would a ball have the momentum to penetrate the collar of the green and naturally roll its due course into a collection area. Another option would be to create a secondary cut extending below the edge of the fillpad onto the downsloping terrain. This would certainly bring ground features, such as collection areas and greenside bunkers, back into play. (See Illustrations below)
Good subject matter!
Dunlop