Indeed....
Scripture says the life of all flesh is in the blood -
Leviticus 17:11
And as long as we maintain this as a physical context and do not write into it a New Testament Perspective which we have, and they did not, we do not corrupt what is being said here.
Physical blood removed from the body does not impact the spirit, it impacts the physical life.
Scripture also says the dust shall return to the earth as it were, and the spirit shall return to God who gave it -
Ecclesiastes 12:7
And again, I take the view that "spirit" is here a reference to "life," rather than the spirit of man itself. We would have to conclude that all who died physically "went to be with God," when we know that is not the case (Luke 16 itself being a prime text on that point).
It is when we equate the knowledge we now have with the revelation being provided to Old Testament Eras that we see a merging and blending of concepts that are not found in the two differing and primary Eras of Biblical History (Old and New Testament).
For example:
Ecclesiastes 3:21
King James Version (KJV)
21 Who knoweth the spirit of man that goeth upward, and the spirit of the beast that goeth downward to the earth?
Would we think this to mean that all men go to Heaven and that all beasts go to Hades (or ultimately Hell)?
In view, I believe, is the revocation of life (in your quoted passage), and not meant to be a commentary on the eternal destiny of either men or beasts. In this passage I see a reference to, not the internal spirit of man and beast, but the mentality (such as in "a spirit of fear") of man and beast: man's thoughts look to Heaven and God whereas the beast is completely indifferent, not having a concept of God and Heaven. That is not to say natural man has a legitimate knowledge of God of himself, but we keep this in the context of the one writing this, and it is a given that in view are those who have had God revealed to them.
God bless.