@TheExtremistModerate
No, you've proved that is is disagreement about when/where he was born. It doesn't mean he didn't exist, it means that Roman/Greek historians didn't take very accurate history (which is to be expected, considering that they made half of it up!) and that Jesus' birth wasn't well recorded.
We don't know the birth/death dates of many famous historical figures. It doesn't mean they weren't there.