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Any insurance adjuster with an ounce of forensic knowledge will know immediately that the other guy hit you.
Unless there's some parallel universe where Concordes slide perfectly sideways into bumper corners.
Unfortunately, nowadays you have to immediately photograph the impact, both vehicles, & the scene.
Police reports are great, but good luck getting one; they'll blow you off right away if there aren't injuries or an extreme situation.
You have to get over the who struck who crap. It doesn't matter. It's who owed the duty to who. The person backing out had the duty to yield. The location of the impact also shows you were clearly behind the other vehicle when they backed up.
As to the threat of medical treatment ha,ha that means nothing. It's a separate claim. Just sit back and let the adjuster go thru his steps. Ultimately they will pay the claim regardless of what the insured tries to claim. The company has the final say, its actually written into the SF policy.
