I cannot guarantee that all species are quite so hardy, but quite a few are, especially other Dactylorhiza species and the plants which are rhizomatous. A species of this type is the Twayblade, it grows as a creeping rhizome, and I know of an area in Shropshire which is popular with riders and quite often find battered Twayblades which have been trodden on by a horse, but they keep growing.
Of course, there are limits and repeated trampling will not do them any good. But they are tough and like all plants, will grow if they can.