It seems to me that the best thing to do is to tailor your plan to the particular situation. But the primary objective is to hoard your strength and all-night sleeping probably won't be possible. A twig snaps, a startled bird flutters and squawks, slow footsteps, and you're wide awake. You need to sleep when you can, and that might be off and on. If you were cold all night, you're still going to be tired, and might find a big rock in the sun, absorbing and reflecting heat, a nice place to sleep during the day.

The large predators often hunt at night, when you would be at a disadvantage. How hungry are they? Just out of hibernation? Injured, having trouble catching meat? Gorging for hibernation? Got cubs to feed?

If it's cold but you have access to some shelter and fire, hunker down at night and do what needs to be done during the day. If you have to travel, you can see better during the day.

If it's desert cold, wide open, no real shelter, maybe walking all night would keep you warmer, and there probably isn't as much to fall over/run into.

Desert heat is best dealt with by limiting movement in the heat of the day, working or walking during the night when cooler.

Rain or snow, slippery in the dark, snow may hide dangerous terrain. And the wetter you get, the colder you get. Stay put if you can.

EMP problems, near-urban areas, weather not an issue, you would have to determine if it would be safer (predatory human-wise) to travel days or nights. You can usually travel faster in daylight, and you can see more. But you might be able to conceal your movements at night.

Like most situations, it depends on what's happening and where you are, and what the local situation is like.

As usual, one plan does not fit all.

Sue