There is the role of the human within the metaphor, and the argument/position of the metaphor as a whole. I don't think it makes much sense to talk about the "point/argument/position of a single component of the metaphor. At least, that wasn't how it was originally structured.
In other words: it's an argument that would work perfectly fine to defend the idea that humans have no consciousness.
Ergo it can only really prove that either humans have no consciousness/soul/... (whatever you name the magical human property) or that it doesn't exist at all.
IMO, the line of thinking in the metaphor is contingent on unanswered questions about self-awareness, which seems to be a definitional prerequisite for semantic understanding.
The thought experiment argues the exact opposite. The idea is you can have perfect Chinese but not understand a single word of what you are saying. The argument is that syntax (procedure based operation) and semantics (understanding) are distinct and separable.
As you extend the scope of the Chinese room from a single task (e.g. Chinese conversation) to human behavior in general, it converges with the question of if philosophical zombies can exist.
In terms of the Chinese room, the distinction IS the difference.