to your point, when my Aussie friends first mentioned a "car park" to my north american born self, i wondered _momentarily_ what that was, then realized it's sort of a fun name for what i would call a parking lot.
yeah but syntactically "car park" gets used like a noun phrase, not verb phrase, which was (to your point really) what had me think "huh?" momentarily.
We use "park" as "I will park the car" not park as in "amusement park"