Is the Mongolian Peoples Revolutionary Party still communist?

equality for pay, work and rankings in their nation

Yes. It is called the Communist Party of the Russian Federation. It is the second largest party in Russia.

It's the only way to achieve any political success in China, and can at minimum prevent you from being prosecuted for several very arbitrary and obscure reasons.

No

A political party described as a communist party, including those that advocate the application of the social principles of communism through a communist form of government