In my case I didn't have any detrimental effects from googling my ex-T...maybe because a healthy attachment was already in place. I guess being able to talk to him about it was really normalizing for me. He didn't reject me for being curious...something my parents did to me when I was a child.

I think the part about "letting the process unfold organically" is the exact reason people google their Ts...therapy is not an organic environment! It's an artificially created one that is unbalanced, unlike perhaps a friendship.