Although I just scanned the material, what seems to be missing from all of this is any clue as to WHICH insurance company's adjuster wants the recorded statement, the nature and extent of the injuries you suffered, and the amount of proerty damage involved.
If there are serious injuries, particularly with any residual effects (scar, long lasting pain, loss of use, etc.) or there was a clearly demonstrable and not incidental set of costs involved -- medical bills, loss of wages, etc. -- do NOT talk to any adjuster, but instead talk to a lawyer who will represent YOUR interests (and of course, his or her own, but to a lesser extent). Believe it or not, if a personal injury case is NOT likely going to produce a big enough payoff for the lawyer, the lawyer will not want to take it, and almost all the lawyers on AttorneyPages give Free Initial Consultations.
If there was only a minor injury - like a bruise that will go away with no residual damage -- or only property damage, by all means speak to the adjuster from your insurance company, but be cautious about speaking to the other driver's company (or their "independent adjuster") as anything you say can and will be used against you -- their adjuster is NOT your friend or advocate but someone paid to hold down their potential claim costs.
Here my guess is that if a truck ran over you you had real serious injuries, with some lasting effect, plus pain and suffering. Except in "no fault" states one issue is whether you were the one at fault. While it might eventually take a jury to answer that, any personal injury lawyer you go to can help you preliminarily and objectively assess that, at no cost to you.
The other side knows that if you hire a lawyer -- even on a case with little likely recovery -- it can start to cost them big time in terms of their own lawyer's fees and expenses to defend. They want you not to get a lawyer. If you simpy state that if they can not make an offer based on what their driver and the witnesses have told them it will be time for you to get a lawyer to represent you, they will suddenly get religion and become responsive. assessment of the otheryou would be