So, let's speculate about future Story developments (SPOILERS!!!)

[kyuven]

Where in the XIV lore (not XI lore) is this written?
They are shy, but there is no word about rare

And also the sunseekers men can go and do whatever they want, if they don't plan to become a Nunh.

It's stated in quite a few places that there's a low male birthrate, mostly because a lot of miqo'te clans are like lion prides: One male and a large number of females, if the "U" clan is any indication.
Thus, while that doesn't mean there aren't males, most of them are wandering around and not sticking to one single place. Note that most of the miqo'te males we meet fall into specific categories: Wandering scholars like G'raha, leaders of tribes like the U guy, and adventurers like the guy from the unlock quest who's hanging out with his boyfriend.
So basically, all the male miqo'te players probably constitute the majority of the population of male miqo'te not tied down for the simple reason that it's an occupation most male miqo'te not tied down would actually do.
Which leads to the amusing fact that the ratio of male:female miqo'te players is probably close to the actual birth ratio in the game...

[Felis]

snip

You mix sunseeker lore and moonkeeper lore together

The sunseekers live in clans, with no mentioned ratio between male and female and maybe a patriarchy society (because the daughters have the name of the father as 2nd name). There is always only 1 Nunh, but the amount of Tias is not limited. All male sunseekers that showed up outside of a clan village are Tias until now.

The moonkeepers live in families, low male ratio and maybe a matriarchy society (because the males have the name of the mother as first name).