Of course not. The essence of the misunderstanding lies in the huge discrepancy between God, who is always one and indivisible, and what comes out from God, namely the son and the Holy Spirit. Whilst they are away from God, they are identifiable by humans as truly separate persons from the Father. When they return to God, they are not perceived separately from the Father because they become part of God, even if we realize that they continue on as separate from the Father, but we cannot perceive or sense it unless caught up in a spiritual vision, and their separateness cannot be articulated except in terms of spiritual concepts.
There is the necessary concept of what returns to God becoming subsumed by God, even if theoretically distinguishable. In other words it is impossible for humans to divide the character of God, but it is also impossible to mistake what comes out from God with the Father.