You said “That’s pretty specific” and gave a definition of “tankie”. The reply “Tankie is a pretty specific term” affirms what you said, and because that’s the end of the reply implicitly affirms your definition of “tankie”. So it does answer your question with “yes”.

I don’t have the skillset to teach conversational implicatures and inference in English, even my own dialect. So I can’t help with all problems like this.

In practice, it’s even more specific, because “tankie” wouldn’t cover a self-proclaimed leftist who claims that Dr. Francia’s dictatorship is a model all states should aspire to. “Tankie” means “self-proclaimed leftist who simps for self-proclaimed Leninist brutal authoritarian states”.