“Even if it’s min haTorah, it might be an asei (Ramba”m) in which case there might not be ta’am k’ikar. See Kehillos Yaakov Chullin 5 (newer edition) for a discussion on this topic; IIRC, he proves as HaleiVi asserts that live meat is not able to be maflit from the fact that we don’t asser a tavshil in which a person stuck his finger.”
If there is no ta’am k’ikar than you cannot bring proof that live meat is not maflit from a case of a tavshil in which a person stuck his finger?