You know that details in the Nativity stories were put there to give them the appearance of fulfilling OT prophecy, right, Sass?
I believe the experience of knowing the OT prophecy is fulfilled comes from personal experience of Christ and God in your life.
You see where they stayed and where Christ was born is immaterial. Just as the number of shepherds and wise men.
The OT shows that God and a persons faith in him are based on an actual relationship.
If it was just fulfilling of prophecy that made a person a believer then the Jews would not have continued to stone and kill the Prophets when their Prophecies came true in their own life times.
The two main things I get from the OT, is that Gods words come to pass and those who believe have personal relationships with him. The NT was written so people would know the Messiah had come and that the truth he reveals leads to a relationship with God and eternal life.
If the bibles were burned throughout the world tomorrow, Gods word would still exist. The truth would be told.
Because it has always been the Spirit of God who put Gods words in the mouth of mankind.
No man of God speaks of themselves. The Holy Spirit gives them the words to speak.
Before the written words given to Moses, GOD was in a relationship with his people. Covenants he made with Abraham and even Noah. Gods people are living people not just stories.