For dates back around 33 AD, I'd say the first new moon after the vernal equinox, plus or minus a week is plenty close enough for my faith.
There are those that strain at a gnat and swallow a camel. And wars have been fought over it.
/johnny
You obviously know more about this then me, but I can just imagine the variances and mistakes in time keeping over the centuries. We can’t even keep time right at a short sporting event these days!
And the story was from MSNBC. At least the estimate was 3/33 and not 6/66!