@NuminousSun"Are you aware that there is a theory that Khan's Golden Horde used catapults to fling diseased dead bodies into cities they were laying siege to, including the diseased bodies of cattle?"
Yes, though this tactic was also used by others during the same period:
At the siege of Thun-l'Évêque in 1340, during the Hundred Years' War, the attackers catapulted decomposing animals into the besieged area.[12]
and even later:
The last known incident of using plague corpses for biological warfare occurred in 1710, when Russian forces attacked the Swedes by flinging plague-infected corpses over the city walls of Reval (Tallinn).[14]