So, from the above, it seems you do not need to declare any offence in your ASIC application. For ten years I admitted to a civil offence, which was using a radar detector on a motorcycle. Issue of ASIC was never denied.
How you deal with the DUI question which is asked on your declaration when you do your next class one medical is another matter.
In a normal world, a low-range one-off offence should not be a worry, but with CASA being what it has become, I fear honesty may not be your best policy.
Others will disagree.