You are wrong. The Rishonim that I quoted, in those specific spots, are not referring to animals at all. Please take a look at the Ramban. It is extremely clear.
Additionally, the Rambam says quite clearly that ANY level of Hashgochoh Pratis is dependent on your Madreigah.
If you want to rely on the Kabbalists that is fine. But don’t make the mistake of assuming that this idea is central to Yiddishkeit.