We might consider just what the blood was in the OT and what the real blood of Jesus is. What if the first is but a type or shadow of the real thing which is not physical?"...and without shedding of blood is no remission." After Jesus, there is no more need for a blood sacrifice..."once for all..."
Jesus did shed his natural blood, but was that the source of Life for you and for me? Within Jesus was real Life. Perhaps better said: Jesus was/is real Life.
Jesus yielded up the Ghost or he shed the Spirit, the Spirit that was to become available to whosoever will, no? The Ghost is the Holy Ghost or Holy Spirit for Jesus. He was beginning to share with whosoever will the Spirit within him by shedding it. This is the Life promised to us and/or for us:
”Who also hath made us able ministers of the new testament; not of the letter, but of the spirit: for the letter killeth, but the spirit giveth life." II Cor 3:6
The natural blood as is the giver of natural life. The spirit of man is the corrupted spirit, which was corrupted in the Garden of Eden. That spirit provides only natural, temporal or carnal life. That spirit cannot give the Life which Jesus is:
"Jesus saith unto him, I am the way, the truth, and the life: no man cometh unto the Father, but by me." John 14:6
What was it Zechariah wrote?
"Then he answered and spake unto me, saying, This is the word of the LORD unto Zerubbabel, saying, Not by might, nor by power, but by my spirit, saith the LORD of hosts." Zech 4:6
This was not the natural blood of Jesus consisting of approximately 10 pints inherited from his carnal mother, Mary. That blood was spilled and lost in natural death. The Life giving blood he spilled or shed or spread was the Spirit, the Holy Spirit when he yielded up the Ghost (Spirit).