I once had the idea (and might have even said it out loud) that flat/contour-less greens tilted back to front were the most strategic of all, and of the purest kind. I don't now remember the background to/thinking behind that idea, but it must've seemed very compelling to me at the time.
I don't know about "most strategic of all" but I agree with your main point. Of course, the "plane" green will have to tilt somewhere about 1.5% for drainage, but in reality, it should provide a proportional reward for those able to place the ball just below the hole, and closer to it. Gentle rolls and more certainly add an element of random outcomes, which in general we accept, so I would consider this a once per course kind of feature for variety.
Of course, we would have to convince the owners and shapers we really wanted that and it was a good idea. I could start a thread one of the craziest things heard from clients and shapers, and among the top responses I have had is, "Um, that green is different from the rest, don't you think it should be like the others?" One shaper on a recent project took it upon himself to build a planned 7,500 SF green closer to the "normal" size of the first three he had built, using that theory. Since he was a shaper and not owner, I had a minor hat throwing incident
and asked him to go back home and bring me the golf architecture book where some gca told him that was a widely accepted design theory! (BTW, not saying this is any reflection on Mike Young, but he was imported by the contractor, and has done a lot of work with him, LOL) Just saying to see if I can get a rise out of Mike!