To which I would add that they are cooler for the same wattage and lamp
type. But often put more light in one place than similar standard
lamps, so feel hotter. Light when it is absorbed by a material (paint,
food, skin) turns to heat.

Generally speaking:
Low Voltage lamps allow for finer optical control and smaller fixtures.
As lighting designer I like that a lot.

Halogen, as mentioned, gives a whiter light and is more energy
effiecient. But comes in slightly different lamps that can get folks
confused. Much like screw-in fluorescents. Similar is not identical!