There's actually 3 styles of Bearn wallets.
1. Bifold with has 5 CC slots and both sides of the wallet are constructed from 2 pieces of leather sewn flat against each other.
2. Trifold with an extra fold out piece which holds additional 5 credit cards
3. Bifold with gusset again has 5 CC slots, but as shown in MrsRance's super helpful pics, the side with the CC slots has an additional piece of leather sewn in to expand the bill area. In this gusseted/extra space, MrsRance is able to fit her thinner Iphone 5, but it doesn't fit the thicker Iphone 4/4S.
I believe all 3 styles have been around and you see all 3 styles pop up in the stores/online over time, so it's not particularly hard to get. For example, there is an orange gusseted Bearn available on the US H website right now. Or just add to your wishlist and SA can notify you when it comes in. I had to wait 3 months for a specific bi-color bearn with trifold or gusset, but to me, that wasn't a very long wait.
HTH!