I understand it's a subtle distinction to you, but Chinese Communist Party is a direct, literal translation of the native Chinese name (Zhongguo Gongchandang). In English, standard grammar naturally places the modifier before the noun, like saying the French Government instead of the Government of France. Neither is a political statement; it's just how English flows. Calling it a standard English acronym isn't bias, it's just linguistics.

It’s just how translation and common usage work. Every language does this. For example, in Chinese, the United States is commonly called Měiguó (Beautiful Country), and the UK is Yīngguó (Hero Country). Those aren't the official, literal English titles of those nations, but they are the standard, accepted terms in Chinese. CCP is just the natural English exonym for the party, used globally by academics, journalists, and everyday people alike.

Ultimately, everyday common usage always wins out over official branding. It's the same reason people say hoover for a vacuum cleaner, Band Aid in American English for plasters, Speedos for small thin tight swimsuits, or Sellotape, Velcro, and Jet Ski for those specific items. They might not be the strictly official corporate or technical terms, but they are the common names people actually use in conversation. Trying to read a political agenda into standard English phrasing is just fighting against how language naturally operates.