That doesn't change anything, they are not synonyms. You can send someone, but he doesn't "proceed" from your Person. You send someone in your vicinity. The Holy Spirit proceeds from the Father, not just His "vicinity."
The Son is the Father's Only Begotten, the Holy Spirit proceeds from the Father. The Father is the "Monarch" of the Holy Trinity, without implying any inequality. They are distinct as to "Persons", not as to "substance." God equally in Three Persons, but the Father is not the Son, and the Father and Son are not the Holy Spirit.
We are speaking about infinite God, of course our language fails. All we really know is there is One Yahweh God, in Three Persons Father Son and Holy Spirit.
The word "proceed" also means "
depart, be
discharged,
proceed,
project.
The word "send" means 'apparently a primary verb; to
dispatch (from the subject view or point of
departure, whereas hiemi [as a stronger form of eimi] refers rather to the object point or
terminus ad quem, and <G4724> (stello) denotes properly the
orderly motion involved), especially on a temporary errand; also to
transmit,
bestow, or
wield. - Strong's.
Ever heard of the Grandville Sharps Rule?
"Basically, Granville Sharp's rule states that when you have two nouns, which are not proper names (such as Cephas, or Paul, or Timothy), which are describing a person, and the two nouns are connected by the word 'and,' and the first noun has the article ('the') while the second does not, both nouns are referring to the same person."
Example:
"to them that have obtained like precious faith with us through
the righteousness of God
and our Saviour Jesus Christ." 2 Pe 1:1.
"Looking for that blessed hope, and the glorious appearing of
the great God
and our Saviour Jesus Christ;" Titus 2:13.
"Blessed be the God and Father of our Lord Jesus Christ" 1 Pet. 1:3.
Here's another:
For unto us a child is born, unto us a son is given:
And the government shall be upon his shoulder:
And his name shall be called Wonderful, Counseller, The mighty God,
The everlasting Father, The Prince of Peace.
Isaiah 9:6.
The "everlasting Father" is the same Person as the "child is born" and "Prince of Peace."
But that's the great mystery of
the Trinity, isn't it. How can the Father be the Son? NO, I'm not saying the Father was crucified, but you have to take note here what Isaiah says in 9:6. It blows my mind, too.
Explain how Isaiah is saying the "child is born" with Him being "the everlasting Father."
And then we'll continue.
If you can't explain it then you can't "proceed" on this thread because you can't get around the possibility that the Holy Spirit was indeed '
PROCEEDS" from Father and Son.