This interpretation is solid. I've lived in various regions over about a 2000km span of the east coast, and noticed usage varies a bit depending on where you are.
(Kind of jarring when you find yourself talking cross purposes with someone of the same nationality and almost identical accent - like when I moved to Qld and discovered some people up there have a very different interpretation of the word "toey" from what we do down south... ๐ )
All good! There's probably far more people in your boat than mine; it was a pretty natural conclusion to draw ๐