Interestingly, Hebrews 9:8-9 tells us that sacrifices and gift offerings cannot perfect the conscience of the worshiper:
"The Holy Spirit is signifying this, that the way into the holy place has not yet been disclosed while the outer tabernacle is still standing, which is a symbol for the present time. Accordingly both gifts and sacrifices are offered which cannot make the worshiper perfect in conscience."
The Mass causes the atonement of Jesus Christ to be just like the repetitive Old Testament sacrifices which cannot bring about the perfection of our souls. It is not consistent with the presentation of His work in Hebrews as to the reason for it being superior.