I'd like to add one other thing about the "minimalists".
They seem to have a better understanding that if you don't disturb the ground, there will be less remediation required to grow quality turf.
In my experience, it seems most in golf think you can completely destroy the soil and just bring it back by ripping it, adding a few amendments, or putting a thin layer of sand on top of it. What no one ever talks about is the long term consequences of modern golf course construction techniques. It is a large reason why our maintenance budgets are so high.
The sand capping part is a separate discussion, and while I agree with Don that it is often wasteful, I'd like to address the first part of his post, instead.
When I set out to design courses I was only trying to mimic what architects built in the 1920's [and before] and to move away from the heavy construction I'd seen in my apprenticeship, which a fellow associate described as "rape it, shape it, and grass it." There was no such term as minimalism in golf architecture, and I hadn't thought through the ramifications for the environment or the turf.
After I built a couple of courses that way, people who were interested in sustainability started seeking me out, because they saw the benefits of our approach ... and I started being aware of it, seeing how fast the courses grew to maturity and how quickly they looked like they'd always been there. As Don says, having big portions of the golf course where you haven't turned over all the soil and killed off all the natural seed bank and microbes has a HUGE impact on the health of the sward six months or a year in. When we started shaping bunkers with excavators instead of bulldozers [I learned on a dozer], a light came on for me when I saw wildflowers coming up around the bunkers at Pacific Dunes ... it was another step up, because the area around the bunker hadn't been disturbed at all.
I do not talk about these aspects of our work much, because I don't want to look like I'm trying to market them, and I don't want to be pointing the finger at the rest of the golf business in comparison. But there are real advantages to this approach, and that's one reason it is catching on among designers who are not famous golfing icons.