You are good. You’ve just pre-emptied both the chance that you may be caught lying and the impression of appearing sneaky by being purposefully vague about something long past the deadline.
Honesty is the best policy. This is not something you can get around. If a school is so insecure as to reject someone it really wants out of the fear that he/she may choose somewhere else, common, would you want to attend it? How can you entrust your education to it for 4 years? Your honesty gives you the right to expect the school’s honesty, and the school promised you that it will be fair in its judgment the moment you paid the application fee. I don’t think playing yield would be deemed fair by any measure.