Perhaps “Lord Who Throughout These Forty Days” benefitted from a “home game” in the first round; it narrowly outpolled its Eucharistic opponent 16-13. Remember the words were penned by an Anglican woman, Claudia Hernaman, in 1873. The music is much older, first appearing in John Day‘s 1562 publication, The Whole Booke of Psalmes, Collected into English Meter, an Elizabethan-era best seller in England.
Now nearly ubiquitous in mainstream Catholic hymnals, “You Are Mine” appeared in print in 1991 as the lead song in David Haas’s second RCIA collection Who Calls You by Name, Volume II. From his notes on the song:
(It) can be used throughout the many different periods and rites of the catechumenate: a song of gathering for the rites of acceptance and welcoming, and it would be especially appropriate for the rite of election or the parish rite of sending for election, due to its strong references to call and choice, which are at the center of the election liturgy.
If this song was written for RCIA, it explains a bit better the reference point of the “you”–not mature believers, but people called by God to adhere to Christ and join the Christian community. The singers are merely “proclaiming” God’s message from Isaiah 43.