I have had two female EII women score as LIE in some personality tests consistently, especially the one who is EII-2Ne Sp/Sx. She scores higher in Ne than a typical EII would, but also higher in Ti than an IEE would, and higher in Fi than an LIE would.
When you talk to her, she initially comes across as "very Ne", she does try to emphasize her Te and cite things that have credible sources behind them (not always doing that as well as she would like, especially not when she had no time to prepare for it beforehand), and she seems to skim around Fi topics – mostly those related to Social issues. So in that sense, her Fi isn't as strong, but it comes through in more subtle ways. The most obvious part is her Ne and Te "obsession", followed by her Si HA – to be healthy. Here, her SP instinct fully comes into bloom...
It took me a while until I had typed her with confidence. The first time I talked with her on video chat, the only IEs I could "tell" she valued were Te and likely Ne. That narrowed down my focus to the Delta Quadra. As I said, she would score as LIE in some tests, like the sociotype.com one, but I was highly skeptical of that result. It didn't seem to fit right. Once I talked with her more regularly in a personal chat, her Si HA came through. She has a certain obsession with looking healthier, related to skin care, and so forth. Drinking green tea in a certain manner, etc. She'd tell me how she loved taking naps in the day and how she struggled with "being lazy", but she wished she wasn't as lazy (in my experience, a typical EII concern). And she had certain idiosyncratic loves of specific animals, in this Fi lead kind of way... Difficult to describe. And she was an introvert, at the end of the day. Also, it became apparent that our (functional) strengths and weaknesses were almost the exact same. Sometimes when I told her about something I knew, she'd be slightly annoyed by it, in the manner of "I (already) know" and "But I don't actually care about it". EII-Ne and IEI-Ni more or less have the same functional strengths/weaknesses, (and our intelligence levels were similar), so that was interesting to take note of.