I believe the demonstrative (8th) function manifests as a kind of dynamic, ambient aura that goes unnoticed by the subject but is perceived by third parties as the "essence" of the subject. For instance, LSEs probably think of themselves as hardworking and practical, but other people often regard them as overbearingly forceful and boundary-crossing.
So what I wanted to do here is inarticulately describe the auras I think each identical pair gives off using random words that will confound you and cause you to kill a small boy's gerbil, and before he knows it's dead, dip it in chocolate fondue, wait for it to harden, and then get him to bite into it.
EIE/LIE: Panorama, latitudinous, lateral thinking, seeing around corners, hidden camera
LII/EII: Mystery, elusiveness, otherworldly, spiritual, doubt
LSE/ESE: Violence, bulldozer, pressure, prodding/nagging, getterdun, insistence
LSI/ESI: Tranquility, sensuality, comfort/discomfort, irritation, cantankerous
ILE/SLE: Grimness, results, excuses, rationalization, success
ILI/SLI: Justification, skeptical, correction, stubborn
SEE/IEE: Fun, inclusion, confrontation, cordial, laughter, condescension
IEI/SEI: Hidden currents, quiet judgment, sigh, "Fine, I'll tell you," deserve, attachment, Will Smith (lmao I had trouble describing this aura for some reason)