Wested jackets still suck, the one in the experience is fairly new as I understand it, and it looks exactly like the one I bought and immediately sold on years ago. Keep in mind, the Wested jacket is actually the one they made for the movie Das Boot (or so Peter told me when I was in his shop). They just label it the "Dr Who" jacket because that's what makes it sell.
As for type of leather, I'm no expert on horsehide, but I've asked a couple people and they think it's not. It definitely isn't very thick leather on the stunt jacket. Somewhere around 1.75-2 ounces judging by the spot where there's a hole worn through. It's very soft leather.