It is important to discern the spirit in which we say something. Protestants mean it in a legalistic way. Orthodoxy does not see things in legalistic terms, but in existential ones. Sin does separate all of us from God, therefore, we have to repent and be healed. If we don't repent, then yes, we will be sent to Hell because of our own choice to remain in our sins. Otherwise, God loves everybody and wishes that we all live. It just so happens that we are all born into and infected by sin, so to speak, and the choice to repent is ours.
Romans 3:23 - For all have sinned, and come short of the glory of God.
Very true! Like I said, we are all sinners, and we must be humble and repentant before The Glory of God because of this, so that we can be received and healed by God.