I didn't find anything about the logic behind the name, other than is aimed at older children: https://www.commonsensemedia.org/tv-reviews/white-rabbit-project

WHITE RABBIT PROJECT, a spin-off of MythBusters that features that show's build team -- Kari Byron, Tory Belleci, and Grant Imahara -- investigates a different topic on each episode: famous heists, crazy WWII weaponry, technology that grants superpowers. The trio comes up with six examples of each topic -- say, difficult jailbreaks -- then investigates each, showing viewers dramatic reenactments of what happened. The most improbable get the deep-dive treatment, with hosts attempting to replicate difficult stunts such as building a hot-air balloon with primitive equipment. At the end of each show, the investigators crown one of the incidents tops in its category.