Dan I will get to the point.
Without shedding of blood there is no remission. I believe we both agree on this.
Could Jesus have not died and been a proper sacrifice while bleeding badly?
Could Jesus have died but not shed blood and been a proper sacrifice?
The answer is no! They are tied togethor in a bond!
Without the shedding of blood unto death the sacrifice would have moot. thus the meaning of shedding of blood is meant to be one that is unto death.
Therefore anytime you see death referenced to Christ it is a clear reference unto the shedding of blood or the atoning blood. So the question can now be asked
WHEN is the death/shedding of blood referenced to being applied?
and the answer is simple and you know the answer BAPTISM!
Rom 6:3 Or are ye ignorant that all we who were
baptized into Christ Jesus were baptized into his death? (BLOOD APPLIED)
Rom 6:4 We were
buried therefore with him
through baptism
unto death: that like as Christ was raised from the dead through the glory of the Father, so we also might walk in newness of life.
Rom 6:5 For if we have become
united with him in the likeness of his death, we shall be also in the likeness of his resurrection;
Rom 6:6 knowing this, that our old man was crucified with him, that the body of sin might be done away, that so we should no longer be in bondage to sin;
Baptism is seen as the application or uniting of us with Christ's death/sheeding of blood.