You could. That is correct, we are wire in Star/Wye, so the fourth wire is just a ground.
I originally thought I might bring down the center tap. With this, as Adriaan points out, we could have stronger braking - shorting all four. I don't see the need for it, and braking with three leads is much simpler, and less expensive, because you only need a double-pole switch (30A in our case).
How'd the raising go?