I think it's appropriate for them to wear the armor and use the weapons they do for 2 reasons:
1) Tradition/getting back to their roots.
2) Despite having some clout in Markarth, they're still by no means a top dog of a faction. They're still on the run, from both the imperials and the nords, and are forced to live on the fringes of civilization and scraqe by with what they can get from the wilderness. Besides, that book Madmen of the Reach also made it sound like they are intimately tied in with the natural world of the Reach, and so probably wouldn't deign to use the synthetic manufactured stuff that the rest of civilization uses.