It does strike a nerve with me when my T does it and it's because I don't like being lumped in as just another client with anxiety disorder or inadequate parents. Part of my issue is that I have always felt like I am insignificant, forgettable, nothing special, so I think when a T makes a comment that sounds like I'm "Client 123 with problem XYZ just like Client 122" it triggers something, maybe a feeling that I'm really not anything important to him and just a clinical case.
So yeah, I definitely understand that you'd feel upset. I hope I haven't made you feel worse or anything, I don't think our Ts intend to make us feel bad, but if it did hurt your feelings then it clearly touched on something and you do have the right to feel bad. Hope you can clear this up with your T soon.