I have been watching this thread for a while. I think this design could work as a desk, with some comments:
* There is an overhang in the front, where you can scoot a desk chair underneath and put your feet under the large arch of the legs. The question is whether the overhang is long enough so that you don't bump your knees into the supports, while the overhang must be short enough that the desk won't tip onto the user.
* I don't know how to say this exactly, but the major forces on this design are compression forces at the 45 degree angles of the legs and supports. In other words, all the weight tries to "squish" the large 45 degree boards. To me, those forces are mostly translated into compression forces against the angles on the two horizontal center boards.
-> My point is that there does not seem to be a lot of sheer force trying to slide the joints apart in the middle. If you anchor those "miter joints" in the middle with strong dowels, metal pins, or a hidden spline/floating tenon, I think they will hold and prevent the joints from sheering apart.
* We cannot see how the supports are joined to the top. If they supports are flat on top and the top rests on them, then there is very little to counter the supports from "doing the splits" and breaking outward as you apply downward force on the top. If you notch the underside of the table top, then you can convert the forces into compression forces on the supports and somewhat inside the top. The notches could prevent the supports from splaying apart. If you don't use notches, then you need some kind of seats that can withstand strong lateral forces from the supports under the top.
* On the bottom, there is a brace that was added to keep the legs from splaying apart. To me, that seems like the weak part of the design. I wonder whether it is strong enough as is, but you could make it larger and/or thicker to improve on it.
Bottom line: This design is very creative and appealing. I am not 100% convinced it can work, but I think it can. If it were my project, I would take the time to do the research about wood strength and how to compute the forces in those unusual joints that the desk is required to withstand. My gut says that it can work, with the proper homework and joinery.