been told when doing lots of driveing in vans, Don't ever swerve unless you have to, if you have to swerve swap paint. i know it sounds daft but swerving is the best way to miss something and crash into something else more expensive, also if you swerve and hit something it's your fault, but if you try and avoid it but swap paint they hit you ( providing you were obeying all relevant rules at the time ) and if you hit anything else afterwards due to trying to avoid it, they hit you before that so that goes down as there fault ( you hope )
it's sad to say it but i don't think anyone involed in an accident would stop and admit anything, unless they had panel damage or cctv proving it even then they will still argue it, 2ndly no one will ever admit anything, or offer to be a whiteness unless have to.
hope you have a quick recovery, and best of luck dealing with insurance companys