does Jesus' whip reach back to Mishnah and Day of Atonement?

Buck Eschaton comments:

Just a note regarding Jesus cleansing the Temple with a whip. In the Mishnah, I believe, it instructs the High Priest, that during the Day Atonement he should spread the blood around the temple in a whip-like motion. The cleansing of the Temple thus] represented the cleansing of the earth, healing the damage that had been done.  link

He is is correct about the Mishnah reference (link).
See also Babylonian Tractate on Day of Atonement here .

How far, though, can we apply this to Jesus' use of a whip in the temple cleansing?