Still won't work as described in the article.
A "Dyson sphere" is not anchored to the star, physically. And, any "thrust" from the star would impinge on the sphere, pushing it in the opposite direction compared to where the star would move. So, the sphere would end up with the star hitting it! Even if the stars "exhaust" producing the thrust did not hit the sphere, say because they put a hole in exactly the right place, the star would still move relative to the sphere unless they also somehow applied thrust to the sphere. It would probably be easier to move just a planet in phase with the star than to move a whole Dyson sphere.
By the way, I am no fan of the Dyson sphere concept either.
Remember, that sphere must somehow allow the entire energy production of the star to pass through it, while extracting some work from it. Otherwise, it would just keep heating up until it vaporized. You can actually calculate the outer temperature of the sphere by taking the energy production of the star and the surface area of the sphere (at whatever radius it is designed for) and calculating the black body temperature needed to radiate that much energy from that much surface.
So, if we want to look for Dyson spheres, we should do that calc and look for the proper temperature signature.
I seriously doubt we are going to find any.
For one thing, it would take a lot of mass to surround a star with a sphere. A sphere the radius of Earth's orbit has an area of about 2.8 x10^23 square meters, and the total mass of Mars, Earth, Venus and Mercury is about 1.2 x10^25 kg. So, assuming that the entire masses were materials that could be used to make structure, the Dyson shell would be about 42.5 kg/m^2. Since most of that would be iron, I use the density of iron (7,870 kg/m^3) to calculate a thickness of the sphere as 5.4 mm thick. And that is an upper limit, because a lot of the masses of those plants is not iron.
Yes, they could make the diameter smaller, but that would make the temperature hotter.
I'll leave it to somebody else to do the calcs to try to find a Dyson sphere design for our own solar system that seems physically plausible, considering both structural material availability and temperature constraints.