The Catechism of the Catholic Church doesn’t say that the Church favors the “preterist” view in Scripture interpretation. Here’s what it says about it:
The Catechism of the Catholic Church
115 According to an ancient tradition, one can distinguish between two senses of Scripture: the literal and the spiritual, the latter being subdivided into the allegorical, moral and anagogical senses. The profound concordance of the four senses guarantees all its richness to the living reading of Scripture in the Church.
116 The literal sense is the meaning conveyed by the words of Scripture and discovered by exegesis, following the rules of sound interpretation: “All other senses of Sacred Scripture are based on the literal.”
117 The spiritual sense. Thanks to the unity of God’s plan, not only the text of Scripture but also the realities and events about which it speaks can be signs.
- The allegorical sense. We can acquire a more profound understanding of events by recognizing their significance in Christ; thus the crossing of the Red Sea is a sign or type of Christ’s victory and also of Christian Baptism.
- The moral sense. The events reported in Scripture ought to lead us to act justly. As St. Paul says, they were written “for our instruction”.
- The anagogical sense (Greek: anagoge, “leading”). We can view realities and events in terms of their eternal significance, leading us toward our true homeland: thus the Church on earth is a sign of the heavenly Jerusalem.
118 A medieval couplet summarizes the significance of the four senses:
The Letter speaks of deeds; Allegory to faith;
The Moral how to act; Anagogy our destiny.
And I got my “timeline” from the Catechism of the Catholic Church which says that the last days is the time of the Church (CCC 732). When is the time of the Church? It is everything in Church history over the past 2,000 years and everything in the future however long it will be until Jesus returns.