Do I need to share my car’s involvement in not at fault accident while shopping around for new insurance?

Hi, I was in a collision 4 months ago and my insurance has paid for the repairs right now and I have paid the deductible. It is very clear from the camera recordings that I am not at fault and the other car who hit me is. However, they are continuing to deny it and the claim is in subrogation now. I am also shopping for new insurance because I am generally not happy with my current insurance. Do I need to share this collision’s details while shopping around for new insurance? All the insurance are asking this in the form on their website. How does sharing or not sharing this information affect the insurance rate plan?