I'd say the genus Grimmia is highly plausible for this sighting. In the local area, when I see a moss that forms tight, furry cushions on rock I think of Grimmia, for it is a very common genus on rock (especially, but not only, very exposed rock that can get baked by the sun) and more so if I see that is greyish when dry. The furry look is created by the fact that each leaf finishes in a relatively long, tapering, colourless hairpoint. As the cushion dries out and the moss becomes dormant, the colour becomes duller, the leaves fold in and the hairpoints dominate the view, giving the greyish tinge. In parts of these photos (in particular photo 2) you can see a grey-white fringe or halo, created by numerous long hairpoints. Didymodon torquatus grows on soil or sand (even sand dunes) and the leaves lack the long hairpoints. It is one of the mosses in which, when dry, the leaves are typically twisted spirally around the stem.