There seem to be a couple steps in engaging one's inferior function.
a) The dominant function is overwhelmed, the auxiliary contributes to the problem by cutting off access to additional information, and there's a mounting impression of distress.
b) Then there occurs use of the inferior function, which leads to lashing out or taking some kind of action or decision.
For example, as an INFP I experience the following:
a) When distressed, I turn hypersensitive and take any criticism very personally. This is traditionally associated with Inferior Fe. So perhaps my Fi gets distressed, my auxiliary Ne get paranoid, and my Fi turns into a distressed form of Fe.
b) If a posture of defensiveness doesn't solve the problem, then I start using my Inferior Te, which is associated with being domineering and trying to impose solutions. And that's the point where I extravert and really start lashing out at others.
By comparison, Jennifer's post says that for her as an INTP, a need for isolation (autonomy) comes first and then lashing out comes at an later step.
So maybe INTPs experience the following:
a) Distressed Ti would be similar to Inferior Te, which is associated with "Be overly domineering, take charge without listening to others." That impression in INTPs could be the process of tuning out others and insisting on one's autonomy.
b) If that doesn't solve the problem, then the Inferior Fe = "Be hypersensitive; take criticism very personally." This could be the point at which the INTP extraverts and lashes out.
Similarly, the OP talks about two separate steps in use of the inferior function for INFJs and ENTPs: some form of personal distress of the dominant function, then lashing out or making a decision with the inferior function.
I was struck that INFP defensiveness is not properly part of the inferior function but rather a distressed form of the dominant function. So maybe INTP autonomy (in excess of normal, anyway) is also a distressed version of the dominant function rather than a part of the inferior function.
I also note that according to this path of distressed dominant leading to inferior, INFPs and INTPs go through the same steps in reverse. INFPs get distressed by getting defensive, then extravert by getting domineering and bullying. INTPs get distressed by pushing everyone away, then extravert by feeling defensive and hounded and going on a rampage to tell everyone off.
Just playing around with some ideas.