Sorry but your words said he was "put in possession." To claim this means he was "always in possession" is absurd.
Sorta like saying eternal generation means eternal, not generated.
You seem to claim "brought forth" both means eternal generation, and sent by. More absurdity.
In scripture the term "brought forth" is used to refer to being born or "generated." See Job 15:7
The issue is not what the initial purpose that the ambiguous phrase was brought forth, but the fact certainly some use the phrase to mean something other than always existing as the Second Person of the Trinity. If you mean God the Son was sent by the Father, rather than "brought forth" or "eternally generated" by the Father, stop using words that imply something else!
Except for the "eternally" part you'd have a point.
You are trying very hard to negate a doctrine that has been the standard for orthodoxy for 2k years.
You do so by measuring antiquated language with a modern standard.
You are wrong. Period. The point is that to deny Eternal Generation is a heresy. It is actually to deny God (in doctrine).
But with the difficulty of the topic and the difficulty of the language this is often overlooked and we still consider those who deny the doctrine to be Christian.
And probably rightly so, because their denial is out of ignorance.
The doctrine was to guard against heresy. It cannot be worked out like you are trying to work our.
Logically God cannot be One God in Three Persons, distinct and yet indivisable.
logically Jesus can't "eternally come forth" from the Father because "comming forth" (Generation) implies a beginning.
But Eternal Generation says that the Word "eternally comes forth from the Father".
That means the Word is eternal and immutable (always coming forth....no change....no start to come forth).
You are wrong.