Youtube tossed up at me a video claiming that the Talmud recorded a change in the scapegoat ritual at the Temple at about 30AD. I didn't watch the video; typically there's little addressing of ambiguities in such things.
The ritual of the scapegoat on the Day of Atonement is probably, if not familiar, at least known, to anybody who has read Leviticus. As part of it, the priest took two goats, cast lots for them. One was sacrificed, and the other driven into the wilderness.
The Talmud and Mishnah and Epistle of Barnabas and Tertullian mention a couple of modifications, not spelled out in Leviticus.
A red ribbon was divided, part tied around the scapegoat, and part {retained in the temple/tied to a rock near the cliff}. The scapegoat was then {driven out of the city/taken to a cliff and pushed off}. I suppose that as the area grew more populated, wilderness as such got to be harder to come by. Whichever, when the scapegoat died, the retained part turned white, presumably representing the purification of sins per Isaiah 1:18.
I hadn't run across that before. From the Palesinian Talmud:
During all those days that Shim‘on the righteous was alive, the scarlet ribbon would [always] turn white (malbin). After Shim‘on the Righteous died—at times it would turn white (malbin) and at times it would turn red (ma’adim).
Shim'on the Righteous was "a semi-mythical high priest whose period of activity is roughly dated to the third century BCE and who serves in rabbinic literature as the ultimate embodiment of a forlorn golden age"
The Babylonian Talmud is similar; except that instead of sometimes turning red it sometimes "did not turn white."
It should be noted that in another tractate of the Babylonian Talmud (Rosh HaShanah 31b) the same passage appears with somewhat different wording: “Forty years before the Temple was destroyed the scarlet ribbon would not turn white, but would turn red
A slightly different citation, from the Babylonian Talmud:
It was taught: Forty years before the Temple was destroyed the [flame] of the western candle would die down, and the scarlet ribbon would turn red (ma’adim), and the lot [with the Name] would come up in the left [hand], and they would lock the doors of the Temple hall in the evening and rise in the morning and find them open. Rabban Yohanan ben Zakkai said to it: Temple, why are you frightening us? We know that you are destined to be destroyed,
Taken by itself the latter passage's symbolic connection to Jesus is obvious: temple isn't needed anymore. But the presence of the other references makes it ambiguous.
FWIW, The Torah.com notes a number of pagan uses of red thread and scapegoat-like ceremonies (e.g. "Now, any evil of this camp that has been found in person, cattle, sheep, horses, wild asses, or donkeys—right now, here, these rams and the woman have removed it from the camp. Whoever finds them, may that population take this evil plague for itself.")
I draw no conclusions from this, except that even things that seem to be clearly prescribed may have unexpected accretions.