Not a distinction I've thought about...but at first glance I'm inclined to think, so what? I'm not ready to change my faith over it, or to deny the Spirit who led me to it,As I said above, the soul and the spirit are not precisely the same. Animals are souls (Hebrew - nephesh, see Genesis 1:21,24). Human beings are also souls (Hebrew - nephesh, see Genesis 2:7).
When speaking of human beings, the references to soul and to spirit are often used interchangeably.
I believe the best view is that human beings are souls who have a body and a spirit. Animals are souls that have a body.

[ASIDE!
BUT have you ever noticed that animals are evil, not just man?
Are animals sinful?
1. The serpent was said to be cunning in evil ABOVE the rest of the animals which implies they are sinful lite so to speak, compared to him, ie, in the garden before Eve ate the fruit. Who created them that way???
2. The serpent was cursed ABOVE the other animals which implies they got a lighter curse for their sin than the serpent got.
3. The animals were cursed by the flood along with mankind for their wickedness and violence, Gen 6:5-7.
Does that not imply that they have made a free will decisions to rebel against YHWH??? Does that have any implications to your fine tuned distinctions? How could there be evil animals in the garden and GOD pronounced it "all very good!" ??
END ASIDE]