Carbon fiber certainly has advantages vs. fiberglass. But this article was about the resin material, which forms, depending on the application, maybe around 50% of the weight. But maybe it's possible to produce epoxy resin by starting from atmospheric CO2 and Fischer-Tropsch synthesis as well, IDK.

Of course, glass fiber wins here, being just molten rock extruded through a nozzle (well, quite simplified, but you get the idea). No expensive hydrocarbon synthesis required.