Poor choice of analogy.
I see cart golf differently, and have played it many times in the US. Never in the UK, though. Here, carts tend to be restricted to those who have medical problems. I have no issue with people with medical problems using a cart, but terminal laziness now appears to be one of those problems in some clubs.
The only point of cart golf should be to speed up play, or sometimes to make a course with large gaps between green and tee, or large elevations, playable.
When on vacation, if I get a chance to play a course which is very quiet, then in a cart I can shoot around in 2 hours or less. But standing on a tee when a pair of carts are zig zagging around a fairway ahead like a mating dance of some crazed pair of insects, is infuriating. as is the knucklehead who sits in a cart chomping a cigar watching their partner play, then waits for him to come back so they can drive forward 10 yards and reverse the process.
Also, if I call a course and they tell me it is cart path only, my interest level drops considerably. That is the worst of all worlds.