No it doesn’t work. I have just tried it on your demo site.
I click add to wishlist and it adds it to my wishlist but the button on the product now says BROWSE wishlist. Browse means to look at it so clicking it should make me view my wishlist.
However when I click on “Browse” wishlist it just removes the item from my wishlist.
The screenshot is from your demo site.
Maybe its a translation problem as like I said Browse means to look at. If its supposed to remove the item from the wishlist then it should says Remove from wishlist.
