What if the aliens use a large light beacon to capture our attention?
Are they trying to capture our attention, or are they just shooting lasers at random points on the sky, SETI-style?
How long would they keep such a thing running? Maybe someone spent the years 5,000,000 BC through 4,990,000 BC---a period longer than all of recorded human history---shooting lasers at sabre-toothed cats and proto-hominids, and then gave up.
Maybe dozens of civilizations across the galaxy are trying to contact us right now, but they don't realize (how could they know?) that we haven't built any 100-km-diameter optical telescopes yet.
Maybe they only shoot their lasers at planets from which they've detected radio leakage, but they haven't spotted us yet because they're 200 ly away and the first broadcasts are only halfway there. Hmm, that's interesting---the sphere defined by "stars from which we could have received a reply to Marconi's first broadcasts", is only 50 ly radius. Not exactly the billion-star collection you'd normally plug in to the Drake equation.