Just a guess, but I believe most of those who vehemently object to carts under any circumstances are relatively young and sturdy, whereas those who would like to see at least a limited use of carts are older and creakier.
I'm 60, my knees ache (surgery on both, but no replacements yet) and I walk 98 percent of my rounds. I'd probably have answered this question differently when I was 40, but with my first trip to Bandon on the schedule for later this year, I find myself sympathetic to the idea of limited cart use there. I plan to play 36 on back-to-back days, and I'll walk it if I have to, but the last 18 are going to hurt like hell.
That's just the way it is at my age, and I will deal with it -- but my interests now lie more toward being able to play more golf than toward spoiling some ideological aesthetic that I've never experienced.
Bandon can and should do whatever they want. Golf's demographics suggest, however, that more and more of its core consumers are dealing with my realities.