Was there a טומאה alert/lockdown system in the מקדש mentioned in Shas or anywhere else?
Each בהמה that was sacrificed would carry an inherent risk of טומאת נבלה if something went wrong with the shechita (eg. one of the five פסולי שחיטה mentioned in מסכת חולין). The animal carcass would become an אב הטומאה and wreak havoc among all the surrounding kodshim which are susceptible to becoming invalid even as a רביעי לטומאה. This is not to mention all the kohanim and others who would be at risk of becoming tamei and imparting טומאה to kodshim. To make things a little more complicated, the carcass would have טומאת משא (unlike a dead שרץ) which would make its removal more difficult and complicated since one couldn't simply carry it out of the mikdash via indirect contact with another object being mafsik.
Even if one were to conjecture that shochtim were specially trained and prepared and the risk was small, the issue would especially be compounded during regalim where there were thousands of korbanos going on.
Was also wondering whether there was some sort of miracle that limited שחיטה פסולה in the mikdash, but this isn't listed among the 10 miracles in Pirkei Avos 5:5.