The Law of SinAndDeath was simple. You Sin, you Die.
There was no way that you could make us for Sin rather than through shed Blood. Under the TenCommandments, it was your Blood that was shed.
Under the Law of the Priesthood the Blood of Animals was a temporary restraint of Judgment till the Messiah came and shed His Blood.
There is no comparison between the Law of SinAndDeath under the Commandments and the Law of SpiritOfLife under Grace.