INFPs, in my observation, balk at the entire concept of MBTI more than anyone else I've seen. They tend to find the Te nature of putting people in boxes highly offensive to their Fi individuality.
In fact, I think I may know an INFP dude IRL because he started FREAKING OUT last night when I had barely even explained Jungian types to him. My ESFJ guy friend was sitting there with me like "OMGZ LULZ WTF" because the possible-INFP started getting butthurt before he even understood what we were trying to tell him. It was very strange. I thought he might be INTP up until that point, but now I don't think so at all.
Other than that, it varies. I think Feelers may be more likely to get offended when someone else tells them they've misyped themselves.
"Sentiment without action is the ruin of the soul." - Edward Abbey
The Instinctive Triad: Types eight, nine, and one are concerned with maintaining resistance to reality (creating boundaries for the self that are based on physical tensions). These types tend to have problems with aggression and repression.
I know I read this somewhere, but I can't find it now.
I think perhaps that 7 could be seen as a denial type because they are denying their problems at times, and wouldn't want to admit the negatives about themselves.
The two people that I've introduced to the MBTI, that were the most resistant to it, were ISFP (suspected) and ISFJ (confirmed).
The ISFJ read some descriptions and everything went in one ear and out the other except for a brief usage of the word "secretary", as a possible career choice, which must have touched a nerve with her because she absolutely flipped out at me, talking about how stupid the test was and how could anyone take it seriously.
The ISFP said, and I quote: "I already know myself. I don't need someone else to tell me who I am."
I agree about INFPs, though -- especially from my experience on this forum.
I was at that MBTI workshop once and there was that girl who scored as ESTP or ESTJ I think. She was quite ruffled about the T, because it sounded to her as if she would be like a robot without emotions (most people at that workshop didn't know about MBTI before so they didn't quite understand it yet). I thought she might start crying soon.