Re: IEEs and "hanging on," I could see that NeFi seems to suggest all sorts of possible scenarios and will want time to reassess and reevaluate the relationship. You don't just give up on relationships until you have made sure you exhausted all possibilities. I can see how for certain IEEs, this means hanging on when there is nothing to hang on to.
With regards to IEEs "seeing what was not there," they might be prone to wanting to see things from their NeFi perspective rather than based on what they are told by the person, but that is also because IEEs often DO have insights. I am not saying I have NeFi superpowers, but when it comes to men and relationships, it has happened to me over and over again that men broke up with me and I tried to tell them "you are making a mistake" (this might have been for different reasons, they felt they had different life plans, they thought I was too unpredictable, etc.). Now I personally don't hang on to someone who does not want to be with me, so I let them go. The majority of these men contacted me again between 6 months and 15 years later to say they were wrong and they made a mistake.
My point is that NeFi is very good at assessing and reshaping relationships as needed and it can be frustrating to see that people won't take the ride with you (SLIs are likely to do it).
That being said, and to get back on topic, the LSI who motivated this thread told me "he no longer wanted to communicate with me" after I had a bad day and annoyed him with something I said. I tried to explain, but he was done. It's fine and all, but a bit baffling to me how people can just break things off so cleanly. I can do it when someone treats me badly, but not when I am annoyed or when someone does not act according to my script. I feel it's such a waste of opportunity. He feels he is not going to waste his time trying things with someone who will annoy him. Fair enough on both parts I think.