Although both LSE and SLI seem plausible [1], SLI gets often confirmed. Sometimes details about you actually dismiss LSE entirely.
One thing is what you recently stated, that what's said between you and someone else should necessarily remain between the two. And we both know it was not merely a contextual wish. But in my experience, LSEs are very open, some boast that they have nothing to hide, and often "their mouth talks without themselves". Two people I know (one is ILI and the other is my girlfriend, SEI) complain that their LSE parents [2] are too indiscreet. SLIs IME are very secretive regarding their personal life, and consider that no one should say anything personal about them, although they themselves can't specify where this limit is.
IME, not disclosing information about someone is an opt-in to LSEs: one has to tell them explicitly what to keep secret when the case. They find absurd to accuse someone for disclosing some information they were not notified it's sensitive, communication by default has to flow. Besides, sometimes negligence brings a furtunate outcome that they (the LSEs) acknowledge, so the means become irrelevant to them - and I'm talking from my actual experience. [3] For SLIs instead, disclosing it is an opt-out, by default one should not say anything and they're at least "annoyed" by indiscreet people, they stick to the rule and even when something good happens, they feel threatened [4], the actual outcome is irrelevant to them.
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[1] - especially since I don't know some helpful details about how are you IRL, for instance are you a time waster or a busy man?
[2] - I have good reasons for which they're not Fe-Base or Extroverted Irrationals.
[3] - these things one who understands the types should know a priori anyway, for the record. How productive would Stirlitz or Sherlock be if they entangled themselves into such details or relied on others to keep their secrecy
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[4] - their principles of life are more important than usefulness.