I see the Jewish Temple as metaphors for our realities and God's reality ie, salvation from sin and death.
The Jews missed the point and unfortunately it appears Christendom at large has done so as well.
The sacrificed lamb was not the end of the show in the Temple. It was the start of a whole raft of symbols where every aspect of Salvation is portrayed.
Here are some elements to enquire about and to reflect on...
The Priest, his attire and function; the layout of the furnishings as well as what they held and their purpose; the blood and what was done with it; the second apartment ie, what was in it; the heavy dividing curtain between the two apartments .......and don't forget the scape goat.
As I said, the Jews totally missed its significance right from the outset; they slaughtered thousands of lambs over millennia and didn't understand the connection let alone the rest of the rituals.
How can Christians get a fuller picture with a similar ignorance? No wonder Temple language is a mystery to them!
I don't know why you think Christians are ignorant? Aren't you a Christian? Are you ignorant?
But I agree that there is more to learn about the specifics of the furniture and rituals, about the elements used. But you didn't reveal what you seem to claim to know?
I must say that though I agree with you that the Jews certainly didn't, in the end, appreciate how the Temple pointed to Christ, I can't say they didn't benefit from the meaning of animal sacrifices. They were the rituals that kept them in good standing with God.
So they certainly benefited. As long as they obeyed properly, the nation was blessed. And that was its purpose, to keep them in relationship with God and blessed as a nation. That was what God had promised Abraham, to have a nation representing Him and obedience to His word.
But undoubtedly Israel didn't fully comprehend how the rituals of the Temple related to the coming of Messiah. I'm not sure God was ready to let them know such details, since the time had not yet come. I'm not, for example, prepared to say that Anna and Simeon were ignorant of the Law out of foolishness when they at the proper time saw Jesus as the promised Messiah?
So now that we are in the NT era, we know that the Temple was intended to prepare Israel for the new Messianic era. But we can now explore all of the elements of the Law in how it spoke of Christ's redemption. As you said, these rituals were designed to show the deliverance from death that Messiah would bring.
I will say this much. I think the laws were designed to teach Israel how to hear God's verbal word to their hearts. Telling them what to eat and what not to eat was purely symbolic of good and evil. To really know when to partake of and when not to partake of we must hear from God's word within. It does no good to rely on symbols if a person does not know what they represent.