"If purpose built as a Commercial Sporter, then the 'L.E.I' means nothing as that designation is for an entirely different configuration, that of a Military rifle.
Why would they (LSA) put it there? It would have no meaning and no business being there."

Lee Enfield is an acknowledgement of the Lee action and the Enfield way of rifling. It conveys meaning to civilians, like a "Mauser" on a commercial rifle does.