A portion of the sacrifice was to be given to the priests. It was the way the priests were compensated for dedicating themselves to the ministry. This would last until the last sacrifice, Jesus. The scriptures would tell us later how Jesus would enter into heaven, offering His own blood and become our great high priest.
I don’t know how long it took the ramifications of Jesus’ sacrifice to kick in, but at some point the believers must have been preaching that these sacrifices were no longer needed. This would have an impact on a ministry model that had it’s priesthood kicked off the payroll. It is no wonder it was so fiercely resisted.
Throughout the old testament, however, there were clues that this system was temporary.
And Samuel said, “Has the Lord as great delight in burnt offerings and sacrifices, as in obeying the voice of the Lord? Behold, to obey is better than sacrifice, and to listen than the fat of rams.” 1 Samuel 15:22
In sacrifice and offering you have not delighted, but you have given me an open ear. Burnt offering and sin offering you have not required. Then I said, “Behold, I have come; in the scroll of the book it is written of me: I delight to do your will, O my God; your law is within my heart.” Psalm 40:6-8
The law was an imperfect covenant put in place to create a longing to know God. It was a burden placed because of sin. It would only be removed when a perfect solution arrived in due time.