Me too. I also get deep right away, and for me, this is just showing honesty and respect to the person I'm talking to. I'm not shallow, so I won't go small talk with you and make you waste your time. But it does make them feel uneasy, I think. I've had someone who barely knows me throw the "you're an intense gal" at me the other day. But I'm very introverted on all tests (80-90% Introversion, like). I am quiet, but some people can read my emotions in silence, which annoys me a bit.
It annoys me because I am working so hard at keeping the lid over my emotions (Enneagram Type 1) that if people perceive them still and go : "You're intense!" I'm like inside, "This is so mean, after all those efforts to contain it!"
But I think I've been able to observe this phenomenon in another INFJ once. That was many years ago at the Montreal Celtic Festival. INFJ Gaelic activist Mary Jane Lamond was about to give a workshop in a little tent, and it was quite intimate, a bit like a classroom. I walked in, along with about five other people to attend. It was early and few people had arrived yet. Ms Lamond was standing in the front, quietly. She wasn't saying anything, wasn't staring at us, nothing. She was just standing there. Well, her presence was so intense and impressive for some uncanny reason that we all headed straight to the back and sat in the last row, very intimidated. When she saw this, she started staring and came closer saying: "There's a lot of noise outisde and if you sit way back there, I'm afraid you won't hear much. But if you feel comfortable there, that's ok." We suddenly felt better, and I walked to the third row, quite near the front and I think others did the same. How strange.