Would it be worth it to build this in my house?

From the looks of it, it requires an open roof, meaning it will rain inside.
So if you are OK with moss growing in your house, and the increased humidity increasing the risk of mold, sure, go ahead. I think you would be better served by proper insulation.

Aight!

If you have an attic then you could build a wood frame inside the attic with 2 by 4’s. Make the frame such that it matched the size of a skylight (or two or three). Then cut a hole in the roof to match the size of the skylight(s). Do that on a nice warm dry day. Install the skylight(s) paying particular attention to the flashing. I recommend coating every aspect of all flashing with a generous coating of thick tar (to prevent water leaks). Once the skylight(s) are installed then cut the appropriate size hole in your ceiling. After that install drywall around the shaft and recessed lighting in the shaft (if you want). Use skylights that you may open and close.

Many years ago I did that in a dark area of my house in San Francisco. It was a lot of work but I was very happy that I did it. The dark area suddenly became the focal point in the house. Loved it.

If I understand correctly it is like an interior courtyard. I don’t see how you can add it to a house unless you build more house around a central open space. Easier to build a covered patio and add shades to block sun. My shades come down ¾ so air still travels through below the shades.

North side of the house would usually be the coolest. My current patio is southwest, but mostly west, so it is horribly hot in the early evening, but the shades work really well to reduce the heat. On the southern side I only have a small area and I put solar screen on the upper part, which works great to block a good portion of the heat of the sun. The entire patio is screened.

Not an easy architectural modification to an existing house.
Are you wanting it for the aesthetics or for the passive cooling?

@JLeslie The skywell and courtyard are different things. Both are discussed in the article.

Our house has a whole house fan which does the same thing, but needs power. If you have a 2 story house you can open the upstairs windows to get the convective effect. No hole in the roof needed.

Nope! Bugs, bats, moths attracted to lights. birds going after bugs, Bleeech!

Anyone purchasing the house after you’re done with it would have to fix it. City code might not allow it, either.

I absolutely love the idea and effect, but don’t know about the practicality. I noticed that the article said little to nothing about the weather; they barely mentioned rainwater collection. A (I think it’s called…) swamp fan in the attic might be better if you just want it for cooling and not aesthetics.