Should I use the at-fault’s insurer’s preferred health clinics or are they incentivized to help the other party?

I was involved in a vehicle accident as a pedestrian and in the process of talking to the insurance of the at-fault party. They've recommended a list of preferred physiotherapists for an intake appointment and potential physio work. Are these clinics neutral when it comes to assessing the needs of all patients or is there an incentive for them to favor the interests of the insurer/insurance company? Knowing that insurance is a business, how much trust can one put in their preferred service providers?