To begin with, I think that on the S/N scale, intuitive types take much more easily to Tarot. Reading Tarot requires a level of abstraction and the ability to make connections and find patterns on a larger scale, as opposed to focusing on the concrete details of a situation. In other words, Tarot requires a reader to see the forest, rather than the trees. While sensing types are certainly capable of this type of thinking (just as intuitive types can be detail-oriented when need be), it's not the easiest way for their brains to process information. And for that reason, I think, sensing types are less likely to be drawn to Tarot, although they would be just as capable with Tarot as anyone else.
As to the specific combination of extroversion and sensing, I think the crux of it is in the latter sentence of the quote you provided: an ES "trusts the present, then lets it go". In my experience, ES types tend to be much more fulfilled by material life than intuitives. This is not to say that they're materialistic, but merely that, from what I've seen of the people I've interacted with, they don't feel compelled to look for greater meaning in their lives beyond the here-and-now. The ES types that I've known have generally found much more fulfillment in their quotidian lives than in more abstract concerns like politics or spirituality. As is noted on the HumanMetrics page you linked, "Haziness of inner, symbolic vision is the psychic price of the clarity of sensory awareness".
Because of this, I think that something like Tarot--which, depending on how one uses it, can be a spiritual guide, a tool for intense introspection, a means of seeing beyond the present, or something similarly abstract--is probably much less interesting to an ES than it would be to intuitives (and most notably INFJs). Allow me to be clear here: I am not in any way saying that ESs (eugh, that looks atrocious, but we'll leave it there because pluralization rules with acronyms are always messy) are less able to read Tarot. What I'm suggesting is merely that something like the Tarot, which can only really be used for abstract, non-material purposes, is probably not very good at capturing an ES's interest.
But all of this is the opinion of an EN (an ENTP, to be more precise), and obviously I can't speak on behalf of people with other personality types. This is just my analysis based on personal experience and what I know of the MBTI typing system. I would be very interested to see what the ES members of the forum have to say on the matter.