From other discussions on ACOG, if the lighting conditions cause the REFLEX to washout, I would assume that the same conditions would make the reticle of the ACOG turn black. This was mentionned with using a flashlight in a dark area.
The difference being that with the REFLEX you see a reflection of the light source on a mirrored surface, and the target area can cause the reflection to vanish. The ACOG has a light source illuminating a specific spot on an etched surface. If you loose the light source, the etching still is visible, may me harder to target with but at least visible.
This is not based on personal experience, but just my own understanding of these optics. Maybe someone can concure...
[edited to add] Man I got to type these replies faster, Forest, your reply was not there when I made my reply up. But it does concure, thanks.