I agree with ATAT that true coincidences aren't that common, and that it is more likely these two things happened because you and your T are so similar.

Trying to put myself in your Ts shoes, I wonder if his reaction might be because he's worried that if y'all are too similar or get too close, possibly in a transference way, that it may effect the therapeutic relationship in a negative way. I see his reaction as concern more than fear. He wants what is best for you, and what you need to continue progressing in therapy, and I think he may have had a moment of worry that these similarities could hinder that.

I don't know if that rings true for you or not, but if I were him, that would be more what I was thinking.