No it's not. It's the continuation of the Cyprus Republic. It's a widely recognized State which has relations with over 179 countries. On the contrary,the TRNC is only recognized by Turkey and is considered as an illegal entity by the UN.
You can't complain about Karabakh and say "it's Azerbaijani land,they are just liberating it",while keeping the opposite stance on the TRNC. Armenians used to live there since ancient times,continuously.Part of it was given to the SSR Azerbaijan by the Soviet government and part of it became the Autonomous Republic of NKR inside Azerbaijan.
After the dissolution,there was a war,the Armenian managed to take back the area and unite it with the Republic of Armenia.
Same stuff were happening in Georgia. Ossetians and Abkhaz didn't want to live under Georgian rule. Their republics were given to SSR Georgia by the Soviets. That's the mixup that has been causing so many wars. In Moldova too,in Ukraine as well,in the Balkans too.