If objects appear frozen near a black hole's event horizon due to time dilation, shouldn't we still be able to see all past objects just outside it?

Since time dilation makes it seem like anything falling into a black hole slows down and never quite crosses the event horizon (from an outside observer's perspective), wouldn't that mean all stars, planets, and objects that ever fell in should still be visible just outside the horizon? Shouldn't some photons from these 'frozen' objects still escape, allowing us to see them? Or does gravitational redshift and other effects prevent this?