onmyway76,
I have had both types of therapists - one who specializes in trauma and one who didn't. I found the experience very different. For instance, a trauma specialist would be able to ask you questions that could help you understand why you are dissociating in therapy. He/she could also help you with grounding techniques to help you during your sessions. I don't see how this is telling the patient what to do or steering them in their healing. This is teaching you a skill and helping you learn awareness so that you can find your path to healing.
I feel exactly the same. I started with a specialist trauma therapist, and felt safe, supported and validated. We spent time talking about safety, how it felt to talk, how it felt after I'd talked. She never once pushed me to say anything, but because I knew she would listen without judgement and she could handle what I said, I was able to. I mostly read out of my journal or took art I'd done, and her response included acknowledging the achievement of opening up and sharing something so difficult and private.
I had to stop seeing her and found someone else who was not a specialist but had particular skills I thought would help. She was a good therapist for those skills, but not for trauma work. She meant well, but didn't establish safety properly or create/hold a space for me to be able to talk - so instead she had to push and I pushed back. I've stopped seeing her now.
Something I noticed in your description was how much therapy-speak there was - "playing games", "manipulation" etc, alongside the lack of examples other than "You're doing it now". IMHO, if there are valid issues for a therapist to raise they should be able to do this without hiding behind labels - at best this is lazy and poor communication. In my view, they should be able to explain what they mean and say things like, "When you say/do X, what are you feeling? Do you think you could try Y? What do you think would happen if you did?" etc.
When I've been directly challenged in therapy, I've been asked first if it's OK for the therapist to give me feedback. Then they've said something like, "I'm wondering if what's going on is..... What do you think?" They didn't throw out psychobabble at me then leave me, like a child being punished, to think about what I did.
We're all different, and maybe the "tough" approach with psychological terms suits some clients. It didn't suit me, and I know I've been able to talk in therapy not because someone pushed and challenged me, but because they didn't.