Where I live, insurance companies don't take any kind of responsibility for things that happen on car parks, because they are private property, and so many different types of accidents happen there. As a result, we would be lucky to have a payout.
From what you have typed, if the car knew that you were there and carried on driving anyway, they are definitely at fault, there is no doubt about it. However, proving it could be difficult. Was there anybody there who would be able to confirm what really happened? Because unless there is, it is your word against the word of the person who crashed into you. In this situation, unless he admits what he did, I'm not sure that you have all that much chance of being successful in your claim - despite the fact that you're telling the truth.