[Peter De Smidt]

Is there any advantage to be gained by using the appropriate box?

The only advantage is that you get more light, which could be useful for large prints or with really dense negatives.

Brighter isn't necessarily better, though. You want to use your enlarging lens at F4-f8 for maximum sharpness. If you have to stop down to F11 or, especially, F16, you'll be losing sharpness to diffraction.