Alien fifth graders making a mega-structure does not have any evidence that I can find.

Would be a sub category in "aliens made it". A megastructure made out of polystyrene seams as plausible as aluminum, steel, shell (silica, calcium carbonate), or spider silk. Any would still be a remarkable find.
A polystyrene foam with density 0.05 g/cm
2 and Earth radius would collapse into high density polystyrene. High temperatures and pressure would then modify the chemistry. I believe a Jupiter mass planet made out of an equal parts mix of hydrogen and carbon would be denser than Jupiter. Adding more mass does not increase the volume. Brown dwarfs are close to Jupiter's volume. A hollow shell with 20X Jupiter's surface might not collapse. It is hard to explain how that would come to exist.
Astronomers have found low density planets with radii larger than Jupiter. The article referred to
KELT 11b. Hot Jupiter planets orbit close to stars and are hot. The high temperatures help explain the low densities. A 760 day orbit would not add much more heat than Earth gets from the sun (per square meter).
The thing around KIC 8468252 would have to have 1/5th KIC 8468252's cross section in order to block enough light. A hot surface radiates infrared radiation. When a hot Jupiter passes in front of a star the infrared should drop less than the measured visible light. When a hot Jupiter passes behind a star the measured infrared drops but visible light will measure normal for that star.
As a hot Jupiter sphere revolves the visible light should gradually change as the light reflecting off the surface waxes and wanes. Like full moon to new moon phase cycles. The reflected light also eclipses when the planet passes behind the star. The object around KIC 8468252 could be extremely dark and/or not a sphere.