And as for the SG, no Epi SG exists that comes with an E logo anywhere on it either. Other than that very specific Epi LP, none of the other Epi LPs have the E logo. Yes, as in the dirt cheap single-humbucker LP Junior that usually comes with a 'game bundle' (as in video game bundle). The only Les Paul that Epiphone makes that actually has an E logo is the Les Paul Junior, of all things.
Where is the E logo used on Epiphone guitars? Much the same way Fender uses the old-style 'spaghetti' logo and the modern 'transition' logo, Epiphone does the same by using both E logos depending on what guitar they're featured on. The Epiphone 'E' logo as I've mentioned before is one of my favorite logos as far as guitar brands go. Epiphone's 'E' Logo on truss rod covers and pick guards