Obviously can't confirm the truth in every detail of this video, but it's interesting enough to share...

I thought this article, shared in 2018, was interesting.

It does contradict VK's post ~ Birth vs. Conception.
However, what if ... you replace 'born with conceived' ...

https://ifapray.org/blog/s...

Years ago I stumbled on a suggestions that he was born or conceived (can't remember which or the reference) during the Festival of Lights, or When the Temple Doors were open.

I've also seen came across about the Feast of Tabernacles (as the time of Conception) and that birth was not during the winter months because the sheep were in the pasture (Luke 2:8) ... this would mean Spring/early Summer when the weather is warmer
This would make the June 17th date, or around it possible

* I'm not well versed on Jewish Tradition or Feast Days, so apologies if Feasts/Festivals look a little off

The conception of John the Baptist could add light to this, but it can also make Spring conception and birth in the Fall..so

Really want a rabbit hole: look up Jesus the person before the baptism, and Christ-Jesus after the baptism by John and the time in the desert