I'd guess that a monitor that ingests whole prey, like rats, is getting a great deal of vitamin D from the liver of its prey. This would allow them to thrive without exposure to UV.
An herbivorous tortoise, on the other hand, needs exposure to UV rays in order to initiate the physiological process that produces vitamin D. Or it must consume vitamin D as a supplement or part of the canned food it eats.
From my personal experience in keeping russians, I'd say that the animals are more active under bright, natural light and have better appetites. Sunlight works best, but if you can at least setup some "full spectrum" fluorescents to brighten up the enclosure with daylight quality light, it'll help. The full spectrum bulbs don't produce much if any UV, but the quality of the light seems to stimulate the animal. I've used GE Sunshine fluorescent bulbs, but I can't find them around here any more. You should still use a regular incandescent bulb to create a warm basking spot.
This setup works well for my russians because they are outdoors for about 6 months, and under the artifical lights about 2-3 months, and then in hibernation for about 3 months. If I kept them indoors full-time I'd probably invest in one of the mercury vapor type of bulbs.
When my russians are indoors I sprinkle calcium/d3 powder on their food once or twice a week.
Don't forget that it helps to have the total environment in optimal shape: Heat, light, and humidity.