"Hair" can mean any number of things. Beyond the manipulations you make, what hair jigs offer in terms of triggers are speed (they tend to able to be fished slow), and the wake (water moved) they make. Bucktail is great for both bc of its buoyancy. "Craft hair" is quite soft so it can move in the water and being a synthetic offers more and brighter color choices. If you are fixed on material's movement, you need really soft hair such as rabbit or, the best, marabou feathers. A heavier jighead also allows the material to move more when you pop, jig, or shake. Otherwise, the addition of a trailer is what gives the movement.
Bottom line I guess is, hair jigs work great, esp in colder water, bc they can be fished slowly, and if tied fairly bulky, can pull a meaty wake -which bass always appreciate.
If you want movement in the jig materials as a trigger, and it can be helpful at times -esp when the fish don't have all that much get-up-and-go- try a marabou jig with a pork strip (pre-softened). I tied my own marabou jigs, fished with a pork trailer -the Uncle Josh' "Spinning Strip". It was killer.