LSIs and SLEs are most suited to the ESTJ, but only to some extent. I'm thinking along the lines of E8 ESTJ, as opposed to say the E1 ESTJ, which is certainly more likened to the LSE. Perhaps LSI is also similar to the ESTJ E1.
Essentially though, ESTJ is one of the most common types for the 8w7 (along with ENTJ). This is because 8w7s are essentially all Extraverts and Thinking. I'd say around 70% are Judging. Sensing and Intuition are interchangeable, simply because the 8 has an innate sense of vision and potential (N) but is more likely to be focused on that which is concrete (S) than that which is abstract; something an ENTJ 6w5, for example, is more likely to focus on. Anyway, if you look at the ST club in socionics, it would make sense for the majority of MBTT STs. And the ESTJ has a strong sense of order, and is most likely a principled person. This resonates with the LSI. On top of this, there is a huge myth that the SLE is the ESTP. Wrong. The ESTP is the epitome of fun-loving (bar the ESFP), non-academic, chaotic but adept at getting people out of sticky situations. A 7w8, basically. This is what's wrong with MB type descriptions. They're too rigid. Rick made a pretty good point about how in socionics, it doesn't matter if the SLE is head of a street gang or a professor at Oxford; how he or she uses his or her Se and Ti is what makes him or her an SLE. SLEs are not non-academic, they're not always fun-loving, and they're certainly not chaotic. They can easily be ESTJs. Like me for example. Okay, perhaps some ESTPs are SLEs, and that would make sense. But not all of them are. Some are ENTJs, ENTPs and even INTJs. It comes down to a flawed system. And since I believe socionics is the more logical and consistent, I prefer it.