The Cross was only for the elect alone

"Let him hear this, who proudly preferred or perhaps still prefers nature to grace. That antiphon that you sing with due reverence concerning the holy cross: 'O admirable cross, removal of the wound, restoration of health,' overthrows more clearly than daylight and dispels the error that is fabricated as it were concerning the baptized reprobate having been redeemed by it. For since it is certain that this cross neither ever was nor ever is a 'removal of the wound' or 'restoration of health' for any of them, it is certainly clear that the redemption of none of them was brought about on it, but only of the elect who alone are believed and recognized ot be the world redeemed by Christ's passion, that is, as they as suppliants say to their redeemer: 'We adore you, O Christ, and bless you, for by your cross you have redeemed the world,' and they alone say: 'But we have to boast in the cross of our Lord Jesus Christ by which we have been saved and set free.' For no one can say that Jesus is Lord except in the Holy Spirit (1 Cor 12:3), that is, as explained by Saint Augustine: 'In heart, in mouth, in deed, in spirit, in words, and in action no one can say that Jesus is Lord except in the Holy Spirit (1 Cor 12:3).'" - Gottschalk of Orbais, Gottschalk and A Medieval Predestination Controversy, Pg. 108-9