Interesting perspective. The “separation” is not in terms of space. David did say:
“Where shall I go from your Spirit?
Or where shall I flee from your presence?
If I ascend to heaven, you are there!
If I make my bed in Sheol, you are there!”
(Psalm 139)
Yet, when David committed adultery with Bathsheba, his prayer of repentance was “Cast me not away from your presence, and take not your Holy Spirit from me” (Psalm 51:11). Obviously, there is a difference in being in communion with God and being surrounded with God who is omnipresent.
2 Corinthians 5:18-21 says:
All this is from God, who through Christ reconciled us to himself and gave us the ministry of reconciliation; that is, in Christ God was reconciling the world to himself, not counting their trespasses against them, and entrusting to us the message of reconciliation. Therefore, we are ambassadors for Christ, God making his appeal through us. We implore you on behalf of Christ, be reconciled to God. For our sake he made him to be sin who knew no sin, so that in him we might become the righteousness of God.
Sin separates, but Christ reconciles.