correct.
.TV is treated as a GTLD.
Site owners can login to their Google Webmasters account and set their .TV domain for global.
Google Webmaster Central
Site Configuration: Settings: Geographic target
Google allows you to set any target country or simply UNLISTED which is global. modify this only after knowing what you are doing. But with other country code domains, you are RESTRICTED and can only target that actual country.
So yes, Google does see .TV as a GLOBAL TLD like .COM, not a ccTLD for only Tuvalu.
Now, if your site doesn't rank well... welcome to the Internet
.