The Laurel Fairy Palace is prudent in its actions and would never eat the demon rabbit on the pretext of dissection.
They would, of course, wait to determine whether the meat of the demon rabbit is toxic before consuming it.
Seeing how each disciple of the Immortal Palace volunteers eagerly for the task of dissecting the demon rabbit, washing pots, chopping vegetables, boiling water... they all seemed quite skilled, as if this wasn't their first time doing such a thing.
"Do you need a chef?" Fairy Eternity felt it was time to show off her skills herself, volunteered eagerly to sign up, and brought back the culinary arts of the Immortals.