One of the best things about H bags is how important the leather is and how many choices there are. With any other brand like Chanel or LV, it's hardly a consideration, all the decisions have been made for you.
Leather wasn't even on my radar before I experienced living with bags of different leathers, and becoming educated by PF, but now it's as critical as style, size and color. I've turned down clemence, VL and togo, where in the past I would have taken any of them; now I know that for a birkin I like a stiffer, durable leather with some suppleness. I love how the leathers add that degree of complexity to the bag, not only in how they mature over time, but how they interact with color, size and style.
I haven't "gotten" barenia yet, as far as appreciating how wonderful it is. But so many of you love it, I can safely assume I'll get there someday.