I had something similar in my therapy. My last therapist enjoyed self-disclosure. He didn't do it excessively, but I could see that he loved taking opportunities to self-disclose to show me that he could "relate". I never needed to know if he could relate. I would've felt well understood if he could just listen with a genuine interest to what I had to say, which he did sometimes but not as often as I needed him to. It didn't feel competitive to me whenever he self-disclosed, but it did feel like an act of self-indulgence on his part and also a boundary crossing because I didn't ask for it, I didn't need to know if he could relate. It felt like he was forcing a communication style that was more suitable for friendship than a professional relationship.