The mini is definitely the women's version. I know; I have both.
I like the women's version a lot. I wear it quite regularly in the summer. It's *Eau Sauvage* with a jasmine twist. Indeed, when it came out in 1970, there were a number of women's fragrances that were moving towards a more *Eau Sauvage* inspired unisex notion of fragrances. Many women began wearing *Eau Sauvage* when it first came out in 1966 and *Eau de Rochas* for women (1970) is a product of a more eau fraīche, unisex conception of male and female scents.