I went through a very similar thing with my most recent T (and actually, the one before that too)... and they were both women, but I reacted to them like I would have my dad. We talked about it, and it helped to both be aware of it. I agree it can a normal thing...
It sucked when I was pulled into those old reactions over and over again, but both T's were able to point it out to me (or agree when I suggested my strong reactions were transference). I also agree that attachment may well develop despite the transference. I kinda think my own was stronger b/c I not only realized that I was reacting to the past, but that both previous T's actively reacted differently than I expected, which built a sense of safety and trust...