There is a fairly basic principle in animal behavior that could be called "can/can't, do/don't". If animals physically can't do something (such as pigs and flying), it's a safe bet that they don't. However, knowing that an animal can perform some feat does not tell you if it does, in fact – in that case you need to look. Monitors' eyes are a very straightforward case of the can'ts.
A bit of background about the types and roles of light-receiving (photoreceptor) cells first. These cells come in two basic types, rods and cones. Rods simply record light w/o distinguishing colors. They are often hooked up to nerves in a "summing" fashion, whereby amounts of light that are insufficient to stimulate a single rod are added up among all the rods in a local group, to generate a single nerve impulse. This permits vision in very dim light, but the sharpness (resolution) is low because several to many rods go into making a single 'pixel' in the image.
The other class of visual cells, cones, includes 2-4 subtypes. Each type of cone responds best to a particular band in the spectrum of visible light, and combinations of these cone types allow animals to perceive a range of colors. Unlike rods, cones are usually hooked up to neurons in a 1:1 ratio, making for sharp images (many small 'pixels'), but at a cost of being relatively insensitive in dim light.
Most animals have mixed retinas, containing both rods and cones, and the proportions generally align with whether the species is most active by day or at night. Humans have cone-dominated retinas, with the proportion of cones being greatest near the focal point, grading into increasing numbers of rods towards the periphery. Our night vision is poor and colorless for these reasons. You see best at night by not looking directly at an object – there are more (and more sensitive) rods in play when you use peripheral vision. Colors are of course there at night as well, but you cannot "see" them because there is too little light to stimulate the cones in your retina. A fully nocturnal animal has a rod-rich retina, and often a reflective surface behind it (called the tapetum lucidum) that bounces back at least some of the light that missed rods on the way in. This is why the eyes of some animals reflect a flashlight brightly, others less so. Nocturnal animals also tend to have large eyes (think owls), simply because a bigger eye can have a wider pupil and a larger retina that can be packed with rod photoreceptors.
OK, monitors, then. All monitor species that have been studied have 100% cone retinas. No one has ever reported monitor eyes with rod receptors. Further, almost all of the cones are in a 1:1 relationship to neurons. What this means is that monitors have color vision (2-3 distinct cone types) with maximum resolution (= tiny 'pixels'). Other optical properties of their eyes are very similar to those of birds, such as hawks, that have far better visual acuity than do humans. Monitors have no tapetum lucidum. Their eyes are not large in proportion to their body size, as for example among geckos.
Short answer, monitors are night-blind. Their vision on a night with a full moon is roughly the same as yours would be in a forest on a moonless night – no detail visible, no depth perception, and only the most marginal ability to detect an object moving (and that object would have to be large and of a color very different from the background).
So, it's a matter of can't do. Pigs don't fly, either.


