I suspect they probably honor His birth at a different time of year, early to mid - fall. Many Messianic Congregations for a variety of reasons believe Jesus was born around the time of Sukkot, also known as the feast of Tabernacles or Booths. This would (BTW) put His entrance into Mary's (Miriam's) womb around the time of Christmas and Hanukkah. Part of the reasoning behind this comes from some hints dropped in Scripture, such as in John 1 where it says: He dwelt among us, (literally, tabernacled) and the shepherds were watching the sheep in the fields (it would be too cold and rainy to watch them in the fields if Messiah had been born in the winter, the shepherds would be in the caves) There are other reasons, some of which are here: https://jewishroots.net/library/messianic/was-the-birth-of-christ-during-tabernacles.html

https://www.christianforums.com/threads/yeshua-concieved-at-hanukkah-born-at-sukkot.7319831/

I suspect they probably honor His birth at a different time of year, early to mid - fall. Many Messianic Congregations for a variety of reasons believe Jesus was born around the time of Sukkot, also known as the feast of Tabernacles or Booths. This would (BTW) put His entrance into Mary's (Miriam's) womb around the time of Christmas and Hanukkah. Part of the reasoning behind this comes from some hints dropped in Scripture, such as in John 1 where it says: He dwelt among us, (literally, tabernacled) and the shepherds were watching the sheep in the fields (it would be too cold and rainy to watch them in the fields if Messiah had been born in the winter, the shepherds would be in the caves)