Why is E9 the only plausible explanation for an INFP developing Te? Why wouldn't it be a response to shame?
That's not what I am referring to. It's the "flitting from task to task" and being "busybodies" statements that I am referring to. That combine with the e6 association is much more likely an ISFJ.
That is also not Te development, or not in a healthy way. It's a way of avoiding dealing with other things that are unpleasant.
Inferior Te, according to Jung, is projecting negative judgments about yourself onto the object, as if they object is judging you negatively. Te is very much associated with impersonal measures used to determine what is a goal, which is why it clashes with Fi, which uses an understanding of the human condition to determine what is important.
This is more of an inferiority complex, then, which all INFPs tend to exhibit in some regard (no matter their enneatype). The extreme response to this is a rejection of norms, because the individual is convinced that they cannot measure up & that these norms put them in a negative light. When this is not extreme, the individual rightly sees that many social norms are shallow & not really meeting innate human needs (which is the focus of Fi - to define what is fundamentally most valuable to the human experience). The norms most often rejected relate to those impersonal measures - stuff like money & power. This is why you don't see a lot of IxFPs pursuing business.
Inferior Te in everyday ways may be an e9 using tasks to ignore feelings (sounds more tertiary Si stress relief though). It may mean an e4 becoming excessively critical of others, especially in things like taste or morals. But more often it's a problem with logistics (knowing what is needed for human happiness, but not sure the practical steps) and resisting anything which heavily relies on impersonal measures to motivate (not good with task work where money is the main motivation, as opposed to creative expression or altruism, more common motivators for IxFPs).