I have 3 21" solar tubes over my new (not yet running) 300G. They've been installed long enough so I have a pretty good feel for how they work.
First, let me address the spectrum issue: the dome is acrylic, which is darn near perfectly clear in the visible range. The walls are some sort of coated silver, which is an excellent reflector. The net effect is the light coming out of the bottom has a CRI of nearly 100, which is a whole lot closer to a natural spectrum than any man-made lamp.
The color temperature when the sun actually hits the dome will be about 5000K, which is a lot redder/oranger/yellower than is normal 30' under water. If you prefer the violet/blue look that many reef tanks sport, you can supplement with actinics or put a blue filter over it. On a cloudy day, or when the dome is shaded, the light is dimmer but has a higher color temperature.
Assuming the absence of clouds (and yes, there are clouds in the tropics), the delivered light intensity is determined by the diameter of the tube, how much light is absorbed in the tube, and the angle of the sun. I find that a pretty high percentage of the light that hits the tube actually comes out the bottom (my meter isn't highly accurate, but I think about 80% comes through). However, when the sun angle is low the usable light drops significantly because (a) less of the light enters the vertical tube and (b) the light comes out the bottom at the same angle it entered the top.
With three 21" tubes, I calculate they illuminate the area over my 8'x2' tank at a peak of about 36% of full sunlight. Averaged over the middle 6 hours of the day, it's probably more like 25%. That's actually not bad when you consider that the water over a typical reef absorbs quite a bit of light.
A 14" tube would illuminate a 20G tank (2 square feet) at about the same level as the 3 21" tubes illuminate my 300G. A larger tank will get correspondingly less benefit.
A concern is the period of peak intensity is only a few hours long. However, due to the reflectance of the water surface when the sun angle is low, that's actually very natural. Corals are used to high intensity for only about 4 hours a day anyway.
A bigger concern is what happens during the Winter. During the Spring and Summer, sunlight delivery here in SE Pennsylvania is nearly as high as in many areas of the tropics (the intensity is lower but the day is longer). However, during the Winter it is much less. Thus, any scheme based on daylight needs supplementation during the darker months.
I won't contradict the negative comments above. If you think a tubular skylight will solve all your lighting problems, you're wrong. However, it will allow you to (a) use smaller bulbs and less power, (b) improve the color rendition, and (c) reduce the amount of waste heat. Besides, you also get a true moon cycle. I say go for it.