[jimt]

I am using "secular" in this case to indicate disinterested or even hostile recorders, and "religious" to indicate interested or favorable recorders.

I would have expected Romans of the time to be disinterested or hostile, and Christians of the time to certainly be interested and favorable.

No implication of "legendary" or "mythical".

[RobbyS]

A more general distinction would be between believers and nonbelievers. Jewish opinion would be equally "interested" and Roman sources may be simply blind to what they were looking at. None would provide an "objective" or god-like view. No such view is possible.