John 1:14 says the Word became flesh and "tabernacled" among us..." In His death, resurrection and ascension+ Giving of the Holy Spirit, Jesus fulfilled 2 or the 3 pilgrimage feasts (Passover, Pentecost). The Fest of tabernacles commemorates God dwelling with His people. It seems unlikely that a God of order would become disorderly and leave the 1st Pilgrimage Feast unfulfilled and have his Son born on a random date that was not a "shadow of things to come" (Col 2:16, 17)...especially when John seems to be using some pretty vivid language about "tabernacling". There are many Greek words that mean to live among...this one is special and it describes the feast.
Also...John the Baptist's Father was of the order of Abijah. That means there course was in the 10th week of the (Jewish) year. After the prophecy given to him by the angel...+2 weeks of ceremonial cleansing+conception of John+9 months means John was born on Passover (the traditional time Jews look for Elijah...who John was said to be...by the Angel).
Mary finds out she is pregnant when Elizabeth is 6 months pregnant with John...which would have been around Hanukkah. 9 months later is the time of the Feast of tabernacles...Late September...October....not late December.
There are other reasons but I have to get to work.
I would hope you would have read the piece befor commenting on it. In the piece, I addressed Zechariah’s course in the Temple and why that points to late December as the birthdate.
“Tabernacled among us” could also refer to the Feast of the Dedication of the Holy Temple of Jerusalem, wherein the Spirit of God tabernacled among men at the time of Jesus. The date of that Feast is the 25th of the Kislev (which approximates December.)