First, sorry, but it’s fewer rights, not less rights, since it’s countable.

Second, sure, that’s true. That’s not what this is about though. There’s no reference above to which group is more privileged. It’s only talking about the fact that, in some places, the rights of men (and all people) do differ. I’m sure you can recognize this is true, right? Some states protect (or, rather, don’t infringe on) some rights more than others, for all people, right? If you agree then the statement of the OP is definitively untrue, and the comment above is accurate.