Mary is never referenced as an archtype in Scripture.
Really? Then what do you think the following scripture parallels are trying to convey?
The ark of the Old Covenant contained the words of God written on Stone. (Deut. 10:5, Hebrews 9:4) Mary, the Ark of the New Covenant, contained the Word of God made flesh. (John 1:1)
The ark of the Old Covenant contained the jar of manna which came down from heaven. Those who ate of this bread still died. (Exodus 16:32, Hebrews 9:4) Mary, the Ark of the New Covenant, contained Jesus, the bread of life which came down from heaven. Those who eat of this bread will live forever. (John 6:31-41)
The ark of the Old Covenant contained the staff of Aaron which had budded as proof as his priesthood. (Number 17:1-9) Mary, the Ark of the New Covenant, contained Jesus, our high priest, Himself. (Hebrews 4:14)
The ark of the Old Covenant was overshadowed by the glory cloud. (Exodus 40:34-35) Mary, the Ark of the New Covenant, was overshadowed by the Holy Spirit. (Luke 1:35)
The ark traveled to the house of Obed-edom in the hill country of Judea. (2 Sam. 6:1–11) Mary, the Ark of the New Covenant, traveled to the house of Elizabeth and Zechariah in the hill country of Judea. (Luke 1:39)
A man touched the ark of the Old Covenant to steady it without God’s permission and was struck dead on the spot. David was filled with awe and said, “Who am I that the Ark of the Lord should come unto me?” (2 Samuel 6:9) Elizabeth is filled with the Holy Spirit and said, “Who am I that the mother of my Lord should come unto me?” (Luke 1:43)
The ark of the Old Covenant remained in the house of Obed-edom for three months. (2 Sam. 6:11) Mary, the Ark of the New Covenant, remained in the house of Elizabeth for three months (Luke 1:56).
The house of Obed-edom was blessed by the presence of the ark of the Old Covenant. (2 Sam. 6:11) In the account of Mary’s visit to Elizabeth, the word
blessed is used three times; surely Elizabeth’s house was blessed by God. (Luke 1:39–45)
The ark of the Old Covenant returns home and ends up in Jerusalem, God’s presence and glory is revealed in the temple. (2 Sam. 6:12; 1 Kgs. 8:9–11) Mary, the Ark of the New Covenant, returns home and eventually ends up in Jerusalem, where she presents God incarnate in the temple. (Luke 1:56; 2:21–22)
Dressed as a priest, David danced and leapt in front of the ark of the Old Covenant. (2 Sam. 6:14) John the Baptist—of priestly lineage—leapt in his mother’s womb at the approach of Mary, the Ark of the New Covenant. (Luke 1:41)
David shouts in the presence of the ark of the Old Covenant. (2 Sam. 6:15) Elizabeth “exclaimed with a loud cry” in the presence of the Mary, the Ark of the Old Covenant. (Luke 1:42)
The ark of the Old Covenant disappeared, and no trace of it can be found anywhere on earth. Mary, the Ark of the New Covenant, was assumed bodily into heaven by God at the end of her earthly life, and no trace can be found of her anywhere on earth.