Panda
In your shoes, I would first of all check with your Insurers to see whether any claim has been submitted by the 3rd party. The chances are that a claim was not submitted as otherwise you would have received a letter from your Insurance company to ask that you complete a claim form. Many years ago I had a similar accident and the 3rd party did not submit a claim. I spoke to them at the time and they advised that it was a company car, so they might not bother. It was only a minor ding.
In regard to the difference between the questions on the internet sites, you need to be a little careful. On the sites where it only asks about claims and not accidents, check the terms and conditions for the quotes. In the small print it mght also mention accidents.
In the event that the 3rd parties Insurers register the claim late with your Insurers, the information could then appear on a shared claims database that Insurers use. In the future if you then tried to claim, you could experience some difficulty in trying to persuade Insurers it was not a case of non-disclosure.
My advice therefore is that once you have checked with current Insurers that no claim was submitted, is to phone Insurers to arrange cover. Mention the accident and that you have checked with your previous Insurers, that no claim was submitted. It was a minor ding and therefore it was debated at the time, whether the 3rd party would need to make a claim. The Insurers may decide to just note the record not as a claim, but just as a note on the record.
Huckster