Yeah, but it shouldn´t affect the borders of the shadows, that are created by the light sources. It makes the pitch black shadows less pitch black and lightens up the area, that light cannot reach in it´s first step, because something blocks it´s path.
Bounce light (with no bounce light or zero bounces, the cylinder would be all grey with no green):
Shadow areas and borders from a big light source:
The Umbra is that area, where no direct light from the light source can reach because of an obstacle. Without bounce light, this area is usually black (or whatever the current area light value is). If you have only one light source in your scene then this umbra area can only be lit by bounce light/indirect light.
Bounce light can (will) create new shadows, but it does not affect the borders themselfes created by the direct light, it just lightens up that area and make it maybe harder to notice the shadow.