Why "beget"? The Catholics do not insist on blurring the distinction between proceeding and begetting and my graphic says "proceeds". So does the Latin Creed.
The graphic says nothing about persons being secondary. You wish to see it as dropping the Holy Ghost down. I see it as elevating the Son, in comparison with the Orthodox. Either view is incorrect because it sees the "up" and the "down" of the picture are meaningful. In fact only the relations are meaningful.
The Catholic dogma is that all three persons are consubstantial. There are no lesser persons.
Then stop drawing horizontal and vertical lines for that which cannot be portrayed.
"Elevating" the Son implies that somehow the Creed diminishes Him! So, the true reasons come out of you little by little: first you blurt out that the Vatican doors are 'wide open' so we can come to you, then you say that we somehow diminish the Son.
Obviously, given the Uniates, it doesn't matter to the Catholics because they will take anyone and everyone, regardless of theology or rite, who will recognize the Pope as the absolute ruler of the Church, which is the only condition for "Catholicism" it appears.
You have closed this thread as you have closed the last: the Church teaches that Wisdom (the Father) is the only source and cause; that Word (Son) is eternally begotten by the Father and that the Spirit eternally wells up and proceeds from the Father.
There is nothing to add or subtract from that. The Cause is the Father. The Source is the Father. The Wisdom has never been without the Word or without the Spirit. The Word reflects the Spirit of the Father and in that the Spirit is an "image" of the Son. The Divine Economy is not a two or a three way street -- the Father begets (generates) the Son, the Wisdom begets the Word, the "Sonship" is eternally inherent in that immutable one-way relationship. The Spirit wells up and proceeds from the Wisdom, not the other way around. The procession is unidirectional, from the Source outward.
Your mind generates words. Your words reflect the spirit of your mind, but not the origin of it. It's a one-way relationship. Whatever character you have is in your mind, the way you think, understand and express yourself. Together, the Wisdom, the Word and the Spirit make up what we call God, just as the mind, words and our own spirit make us because we are, made that way, in His image. Without those Three there is no God just as without those three there is neither annalex nor Kosta.