No, you didn’t stipulate that in your original argument.
Romans wouldn’t have kept records of slaves and Jews under their thumb.
You remind me of the continual goal-post mover...and that comic...
the atheist was claiming to be as good as God and when he began to scoop up some dirt to make something, God said: “Uh-uh...make your OWN dirt”!
There is no contemporaneous account of Jesus outside of the Bible, Roman or not.