Cool site, thanks for sharing it. It does say "Türkcə" (in Azeri orthography) rather than "Türkce" (Turkish orthography). It's true that Azeris sometimes refer to their language as Türkcə, Azərbaycan Türkcəsi, or Türki/Torki, but this has more to do with Azeri identity (particularly in Iran) than with any linguistic issue. The fact remains that it's a distinct language, regardless of what name it's called!
Currently away from Unilang.