But God's people were always saved in God's eyes in eternity since they only has He ever known.
But it's refreshing to see you finally concede that "His people" doesn't consist of the world in the distributive sense. IOW, this Lukian passage is not teaching that God came into the world to save each and person w/o exception. He came to save only his covenant people -- to whom, "coincidentally" the New Covenant promises were made. This Lukian passage addresses God's PURPOSE for sending his Son into the world.
Luke 1 announces mercy and salvation’s dawn in Christ. As everywhere in Scripture, salvation comes by faith, freely exercised. Belief > salvation. God’s people are those who freely believe.