I suppose the small talk gets associated with S's because they tend to notice the details of their day better so as to actually have something that isn't 'deep' to ask when confronted with a new situation, that requires small talk. It is a stereotype though, I agree.
This is what I've observed also. It just seems to come easier to them, even if they do not find it fascinating either.
S types can be more interested in the details though, the current happenings of life, and enjoy reviewing the current past & speculating about the immediate future. All of that is not even classified as small talk, but for me it's about the same, as far as not having much to say. It's not even WHAT you're discussing sometimes, but how you discuss it. The things I most like to discuss are sort of less time & activity oriented, for lack of a better description. It's not about yesterday or tomorrow or what I did or will do, but just ideas & concepts in general. I can do personal, feeling talk also, but that's its own category
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I've noticed with ESFPs that they will recount their day to you in detail & in order, which takes fooorever. There is often really no point. Sometimes the anecdote is funny, other times dramatic, but it could be shortened & have the same effect...
I notice when N types talk about their day, its summarized in less than a minute. In fairness to ISxP types, they're not as prone to such monologues of their daily activities. ISxJs do seem to like to recount what has recently occurred. There is purpose to this, just as there is some value in N speculation & conceptual talk, but a preference for a process can make a person lean a certain way in conversation.
Since small talk is necessary in establishing conversations and feeling a person out (what are they open to talking about?), it's not all evil, but I'm not skilled at it and being forced to engage it in for any length of time is not only dull, but draining.
I once walked into a coffee shop & this ENFJ I barely knew started talking to me about some scientific experiment on goats. That was her opener. I thought that was awesome. No weather talk, no pretense to be interested in how I am, just straight into, "What do you think about this concept?". It was not too personal or deep to be awkward either - because there is a LOT between small talk & personal, deep talk.