At Huntercombe holes 1,6,7, 9 and 10 all have front to back sloping greens. Three of these are short holes - 1, 7 and 10 - and I think this diminishes the strategic impact you are referring to.
That said, in the case of the 9th and 10th, the combination of obstacles just short of the green - a "valley of sin" type effect on 9, and a bunker on 10 - and the front-to-back slope of the green, do pose cute dilemmas: do you try and fly them, with the risk of pitching and going off the back, or do you try and circumvent them - either by bouncing short, or left, respectively?
In the case of the 6th, a par 5, I am not sure the strategic consequences are that dramatic. If you are a short hitter, you are laying up to hit a 100 yard pitch in and that decision is not affected by the shape of the green. If you are a long hitter, your stratgey for the hole is determined by how straight you drive, not by the shape of the green.
In all cases, the shape of the green makes distance judgement difficult, and when the fairways are firm, they generally encourage you to run the balls into the holes. Because the slopes are quite subtle to the unitiated, they effect putting quite a lot, whether you are putting up or down slope, or across it.