My take is the average player doesn't really equate chipping over the green repeatedly with unfair greens, but would like to see a reasonable approach shot hold, which in my opinion and experience, requires a green with a back to front slope of at least 1.33% (yes, I have gone out and measured such stuff, but not for a while. With faster greens, that slope is probably over 1.5%) And, when the pin is back, the back of the green needs at least that upslope, too, or balls will run through.
When I got in the biz, domed greens were thought to be the absolute no-no. Obviously, at a famous tournament course like P2, they were accepted as a great and unique feature, but you would never consider putting them on the local club or muni. Sometimes, exposure to famous courses gets some folks thinking about returning to the old days.
Either way, the basics still hold. If you want most of your golfers to hold greens (and most of them have such a hard time hitting them any way, when they do light on the green, they like to stay there). Ditto, once they start putting, they hate to "de-green" a putt. So, if catering to average golfers, you flatten enough to stop that from happening to all but the worst putts.