This is exactly what the Orthodox are saying. The filioque is not actually in the real Creed, it only appears in a corrupted version mistakenly adopted and used by the west.
In fact the Bible is very clear about the Holy Spirit’s involvement in time in the begottenness Christ, the overshadowing of Mary. The Holy Spirit was again present at the baptism by John, where God does state “This is my beloved Son!”
If you want to use logic to express a matter of the Holy Spirit proceeding through the Son, you have to admit the symmetrical and complimentary argument that the Son is Begotten through the Holy Spirit. If you do not do so, you are subordinating the Holy Spirit in your profession, which is not possible in reality because all three persons are God, co-extensive and co-equal. You thereby may unfortunately be worshiping a god of your own creation through imagination, instead of God.
The early church Fathers were very wise to avoid this entire line of thinking when crafting the Creed (since expressing this point is not actually necessary and is in fact confusing), yet the west fell into the trap (even for a few centuries accusing the east of deleting the filioque, so naive were they concerning theology at the time).