I do not think that is right. The object that we try to reach is to understand what the author intends to communicate by what he's written.
I do not think that is the right question. We're not trying to become Jewish in our thinking so we can understand what a first century Jew might have thought about as he/she read the passage. What we're trying to do is understand what the author intended by what he wrote. The author is a Christian. He wrote under inspiration. That is where we start.
The writer compares temple ritual and old testament passages to the life of Jesus Christ because the old testament passages and the temple ritual were types and symbols illustrating the life of Jesus Christ and Jesus Christ's actions. The writer says so himself. He says
For whatever was written in former days was written for our instruction, that through endurance and through the encouragement of the Scriptures we might have hope. (Romans 15:4)
For The Written Law had a shadow in it of good things that were coming. It was not the essence of those matters (Hebrews 10:1)
Hebrews 7:26 It was fitting that we should have such a high priest: 18 holy, innocent, undefiled, separated from sinners, higher than the heavens. 19 27 He has no need, as did the high priests, to offer sacrifice day after day, 20 first for his own sins and then for those of the people; he did that once for all when he offered himself. 28 For the law appoints men subject to weakness to be high priests, but the word of the oath, which was taken after the law, appoints a son, who has been made perfect forever. 8:1 1 The main point of what has been said is this: we have such a high priest, who has taken his seat at the right hand of the throne of the Majesty in heaven, 2 a minister of the sanctuary 2 and of the true tabernacle that the Lord, not man, set up. 3 Now every high priest is appointed to offer gifts and sacrifices; thus the necessity for this one also to have something to offer. 4 If then he were on earth, he would not be a priest, since there are those who offer gifts according to the law. 5 They worship in a copy and shadow of the heavenly sanctuary, as Moses was warned when he was about to erect the tabernacle. For he says, "See that you make everything according to the pattern shown you on the mountain." 6 Now he has obtained so much more excellent a ministry as he is mediator of a better covenant, enacted on better promises. 7 3 For if that first covenant had been faultless, no place would have been sought for a second one. 8 But he finds fault with them and says: 4 "Behold, the days are coming, says the Lord, when I will conclude a new covenant with the house of Israel and the house of Judah. 9 It will not be like the covenant I made with their fathers the day I took them by the hand to lead them forth from the land of Egypt; for they did not stand by my covenant and I ignored them, says the Lord. 10 But this is the covenant I will establish with the house of Israel after those days, says the Lord: I will put my laws in their minds and I will write them upon their hearts. I will be their God, and they shall be my people. 11 And they shall not teach, each one his fellow citizen and kinsman, saying, 'Know the Lord,' for all shall know me, from least to greatest. 12 For I will forgive their evildoing and remember their sins no more." 13 5 When he speaks of a "new" covenant, he declares the first one obsolete. And what has become obsolete and has grown old is close to disappearing. (Hebrews 7:26-8:5)
Thus we cannot make Hebrews 6:1-8 disappear in the smoke of alleged context that eviscerates it and pretends that it means something different from what it says.
Hebrews 6:1 Therefore, let us leave the elementary teaching about Christ, and move forward, to a more advanced knowledge, without laying, again, the foundation, that is: turning away from dead works, faith in God, 2 the teaching about baptisms and laying on of hands, the resurrection of the dead and the final judgement. 3 This is what we shall do, God permitting. 4 In any case, it would be impossible to renew, again, through penance, those who have once been enlightened, and have tasted the heavenly gift, and received the Holy Spirit, 5 tasted the beauty of the word of God, and the wonders of the supernatural world. 6 If, in spite of this, they have ceased to believe, and have fallen away, it is impossible to move them a second time to repentance, when they are crucifying, on their own ac count, the Son of God, and spurning him publicly. 7 Soil that drinks the rain falling continually on it and produces profitable grass for those who till it, receives the blessings of God, 8 but the soil that produces thorns and bushes is poor soil, and in danger of being cursed. In the end, it will be burned.