Depends what it looks like For all intents and purposes, the body shape is the primary factor for identifying an instrument for me at least. When I hear Les Paul, I think of the classic and well known instrument that happens to look quite unlike an SG. Things like pickups can be suffixed onto the end of that, if you're fussy
That SG shaped Les Paul might well be a Les Paul, but for 99% of guitarists who havent read the truss rod cover it's an SG. And what does the name matter anyway, really? It's more about how it looks, feels, plays and sounds than how it's branded.
As an aside, my favourite Les Pauls and SGs say Gordon Smith on the headstock.