Nice questions. We have lacies that hunt in the dark at night in the hotter part of the summer. I have also seen several species cross the road at night.
About their eyesight, its different then ours. They seem to have superior vision at distance, like hawks. But up close and in particular bright lite, they seem to only see movement.
Up close they seem to rely on smell or tast to verify what it is.
About monitors a sleeping. I have asked this question a million times. How do they sleep? and no one can provide a real answer. Like do they sleep 8 hours at a time. Or short naps, etc etc etc. It appears to me. They do not give a crap about our type of sleeping pattern. They do whats advantagous to them.
In nature in their average enviornment, they are indeed early mourning and late afternoon creatures, spending the rest of the time inside something. Notice I did not say sleeping.
In general the vast majority if wild monitors are Inside something at any given time. Much like reptiles here. Even when they are "out" only some are out, at any given time.
What they do in captivity is very dependant on what we do. They will learn when feeding time is, or when you come home, etc etc. And will react if temps are there to support them. Cheers