You searched for: “animal faith
animal faith (s) (noun), animal faiths (pl)
An irrational belief in the existence of a fully knowable world that can exist outside the mind: There is no evidence that animal faith exists with any non-human animals that believe in gods, pray, worship, create artifacts with ritual significance, or many other behaviours typical of human religion.

Whether animal faith can be the same as religious faith is dependent on another definition of religion.