The sixes I have encountered, seem to avoid taking responsibility by vindicating themselves, rather than asking outright if they are to blame.

I didn't do it

It wasn't me

It's not my fault

I see the movement to three as making them more inclined to telling fibs/lies in order to protect themselves. They deny having done anything wrong so that people don't question their value. They adapt their image in order to impress people and show them that they're reliable.

I'm not sure about the person your referring to but when I read your comment I got the impression of her being an image type, particularly a four or two. It sounds almost like she's withdrawing but at the same time wants you to chase after her to see what's wrong. It sounds like she felt hurt and wanted you to recognize her pain, maybe?

That's only an impression based on what you have shared which is very little. But yes, sixes fear taking responsibility, they project their fears outwards giving meaning to other people's actions in order to alleviate the fear of being blamed. I think on a core level, they fear being blamed because they don't want to lose the support of the other. Thus you typically find them pretending (3) to be more responsible than they are.