Deer are different … There eyes are totally different.
A fox or yote will general look towards the light when you spot them … but not always. I notice when I spot eyes with my headlamp … then switch to my scope light for the shot they usally freeze for a second, because of the change of the brightness in the light hitting them.
Also if you spot them … never take the night off because they ALWAYS notice that change if you pull it off then re light them … The light itself serves two purposes … One to obviously see them at night, and the light also acts as a cover for the shooter. Just like if someone shine a flashlight in your eyes … its hard to see what there doing behind it.