Hello Grant00&: It's been a few days since you posted this Thread. Welcome to PsychCentral! I'm sorry your first post has received no replies up to now. Unfortunately, I don't know the answer to your question. I have never had any involvement with Social Security Disability. In general, however, my thinking would be that if these are doctors Social Security is sending you to, no. You probably can't trust them. This does not mean that you should not be honest. But my thinking would be that you would probably not want to share more than is asked for.
I used to work in the workers compensation system in my state. And if an insurance company sent an injured worker to see a doctor of the company's choosing, it was generally not in the injured worker's favor. But, there again, this is just my experience having worked in a different system. Hopefully there will now be some other members, here on PC, who will see & reply to your post, & who will be more knowledgeable. My best wishes to you.