Why the need for separation, either-or? Christ does both.
"Both" are not in view in the discussion, which has as a focus examining the belief that Christ was "forsaken" of God when His wrath was poured out on Christ. At that time, it is suggested, Christ was forsaken of God. One of the issues that has arose is whether, in the Garden of Gethsemane, Christ is asking that He not go to the Cross when He states "Take this cup away."
By your statement it seems you are taking the position that Christ was separated from the Father, or God (however you might want to phrase it)?
God bless.