In regards to propitiation and if we take instruction from the OT scriptures [2 tim 3:
16All scripture is given by inspiration of God, and is profitable for doctrine, for reproof, for correction, for instruction in righteousness:]
We see the High Priest made atonement or reconciliation or propitiation, that is brought a sacrifice to God, to cover the sins of ALL Israel, not all the world, to include the egyptians and philistines and ect..
All for whom behalf the High Preist did this for, received forgiveness from God, it was not a choice they had, it was not a offer for them to accept or reject, but it was a effectual accomplishment by the High Preiest of Israel for Gods chosen People..
So too, Christ the High Priest for His people [ heb 2:
17Wherefore in all things it behoved him to be made like unto his brethren, that he might be a merciful and faithful high priest in things pertaining to God, to make reconciliation[propitiation] for the sins of the people.]
has made propitiation, reconcilation, atonement for all of Gods chosen people from every nation [Gen 17:5, ]which are those chosen before the foundation of the world, and all for whom this is done, shall be called unto their eternal Inheritance Heb 9:
12Neither by the blood of goats and calves, but by his own blood he entered in once into the holy place, having obtained eternal redemption for us.
13For if the blood of bulls and of goats, and the ashes of an heifer sprinkling the unclean, sanctifieth to the purifying of the flesh:
14How much more shall the blood of Christ, who through the eternal Spirit offered himself without spot to God, purge your conscience from dead works to serve the living God? 15And for this cause he is the mediator of the new testament, that by means of death, for the redemption of the transgressions that were under the first testament, they which are called might receive the promise of eternal inheritance.