Yes, it makes sense. The answer is they're assigned to their polling station. They can only vote at their one polling station.
One thing I would say, though, is that with the proposed change to section 124, there would be a period of time when that polling day could be set up between day zero and day 13, or the 13th day before polling. That would be the polling day for that institution. They would still have the advance polling opportunities and the special ballot polling opportunities, but their polling day could be throughout that period.