I beg to differ with you. I recommend a well respected work that covers the most popular Christian doctrines during the patristic and early church age: Early Church Doctrines by J.N.D. Kelly. While Kelly is not the only word on the patristic and early church age he is one the most recognized scholars about that age and appeals to Reformed and non-Reformed theologians.
As far as your personal experience, that is anecdotal.
The problem is that anything can be drawn from secular uninspired history to prove anything. The bottom line is not the uninspired traditions of men but the inspired words of God.
The inspired writers' use and emphasis on the words "the blood" along with providing a multitude of reasons why they do is markedly different from the non-essential blood atonement writers. The reason is that they hold to two different kinds of atonement. The Biblical writers say that the shedding of Christs blood was absolutely essential for the remission of sins while the non-essential blood advocates deny that.
The non-essential blood advocates try to divert and pervert the facts by pointing to sacrifices that were bloodless. However, the writer of Hebrews admits that some were bloodless but in the very same breath says the shedding of blood is necessary for remission of sins and that is why Christ's blood had to be shed - Heb. 9:12-21.