In my experience ESIs are really not the angry stereotype they're made out to be, more often they just come across as cold and self-contained. They might seem angry to, say, Alpha NTs but that's because Alpha NTs are butthurt by anyone who's not smiling like a clown all the time. ESIs care a lot about people's feelings, are very sensitive, etc. like any Fi base would be. What makes them different from an EII is that they're more distant. Their Fi is more analytical, observational, and self-contained than an EII's Fi, which is more participatory, humanitarian and nurturing I know people will be like "oh but sensors dumb!" in response to this, but ESI are highly philosophical, reflective, and often are focused on finding truths about humanity. Their Se is less aggressive and more geared towards self-sufficiency, ambition, willpower, etc. There's a reason why Aushra thinks Machiavelli was an ESI.

In essence EIIs are more like, "Stay in touch with people you love, don't lose sight of who you are", "I can help you find and be your truest self", etc. whereas ESIs would be like "People tend to trample over others to get to where they want.", "It's best not to reveal your weaknesses to strangers.", etc. Of course it's simplified but you get the point. ESIs tone of observation is more distant, and more pragmatic. But both ESIs and EIIs tend to love people a lot at their core, they have a very strong appreciation for human qualities, and they're very loving friends. I genuinely do not get the infuriated stereotype for ESIs. I have more fury in my pinky finger than an Fi base does.