That’s correct. The range between the sun light and pretty much anything else, practical or natural, is extremely high. Even the range of the sun itself between noon and sunset is pretty extreme. The Lux values also include the sky contribution, so your light value will be slightly lower.
For night time exterior, you’d use an EV of -6 to 4, depending on what type of light your subject is under, including moon phases. For night interiors, an EV of 4 to 8 also depending on what type of light is used. If you want to use the manual controls, pick from the chart here that corresponds to your desired EV and f-stop. Exposure value - Wikipedia