No, aside from different weapons and bandoliers, and the fact the costumes are hand made, all three ANH Tuskens are pretty much the same.Tuskens are tuskens. They dont share a factory for their wardrobe . There really isnt a right or wrong look.
The wonky Mando Tuskens look like they come less from a professional wardrobe department like on ANH and more from a SDCC cosplayer's garage.
Even today, the ANH Tuskens feel scary and very real - totally convincing creatures - whereas the Mando versions never felt very real to me; you're sort of aware of actors in somewhat unconvincing costumes.