While Paul refers to the sacrifices as a shadow of good things to come, he does not argue that foreshadowing the sacrifice of Christ was their purpose. But let me grant you this for the sake of discussion.
I believe we can both agree on the fact that God used the Romans to put an end to the offerings during the Jewish/Roman wars of 70AD. Both the Jewish rebels and the Roman armies destroyed the temple. And if history were to end at the Second Advent, then we would not witness animal sacrifices again. Bear in mind, though, there is nothing in the Bible that says this explicitly.
The future absence of animal sacrifices is a logical inference from Amillennial doctrine, not explicitly taught in scripture. Amillennialism teaches that history ends when Jesus returns, and if history ends when Jesus returns, then logically one can conclude that God will not re-institute the sacrifices. If history ended today, Amillennialism would be proven correct.
But history hasn't ended, and the Bible doesn't explicitly say that God is done with animal sacrifices. Granting your premise, then, the original purpose of the sacrifices has passed and they are no longer needed. Bear in mind, apart from the God instituted legal system, which were the terms of the original covenant, sacrificing an animal is not a moral imperative as such. Offering an animal sacrifice is a moral imperative only in so far as they were commanded by God as part of the original covenant. While sacrificing an animal is not morally obligatory, obedience to God IS morally obligatory. So if God commands it, one must obey it.
The original covenant is no longer in effect, and as the Lord, through Jeremiah says, "a covenant which they broke." For this reason, I would never suggest that animal sacrifices will be offered on the basis of the original purpose. The atonement of the cross is better and more permanent than the Levitical atonement offering. Therefore, if animal sacrifices are re-instituted, they will not serve the original purpose. They will serve an entirely new purpose.