Josh, as others have correctly said, your instructor was PIC - his role, and your participation in the event are entirely clear. The NTSB does not always get everything right, and for a no injury event, there is a lower threshold of detail in report. You are entitled to request that information in the report is more correct, if you can clearly demonstrate there is an error. All that said, you were not a causal factor in the accident, so it was an accident, for which you were not PIC, the insurer has no interest in your involvement, other than being happy that you were not injured.
Because of this we run into policies at flight schools that don't allow full-down autos, or off-airport landings, because of the inherent possiblility of damage to the aircraft. How on earth are you supposed to do the right thing in an emergency situation if you never get the chance to actually practice the full maneuver?
Yeah, same for me, I have only done full on autos from the hover, they were disallowed from altitude entries after the school wrecked an SW300 training one (before my time there). From discussions I had, I understand that the insurer considers it a likely writeoff if there's an engine failure. As long as everyone survives, it's within their risk plan. If a real autrotation results in a reusable helicopter, bonus!
I have been involved in a number of accident investigations over the decades, including as PIC instructor for one. We were both badly hurt, and it was still a low threshold ("class 5") investigation, for which no report was ever produced - "Nothing new to learn here" was the Investigator's comment about there not being a report. I have learned that investigators can be out of their depth in some cases.
I'm assisting the NTSB now in commenting a draft report for an accident (I was not otherwise involved in any way). Though the investigator is diligent, and a lot of resource has been applied to analyzing this sad accident, I can see that there are sometimes specialist skills necessary to highlight "in the weeds" details which maybe factors, and the NTSB simply cannot employ enough people to have all of these skills for all types and regimes of flying. That said, getting the report right for a training accident in an R44, when both pilots can provide a detailed description of the event should be pretty basic.
A bumpy start to your training, but stay with it, you obviously have a good attitude!