Contradiction with Exodus 28:41
Exodus 28:41 describes the consecration of Aaron and his sons, which might seem redundant to repeat in Exodus 40:14, suggesting a contradiction in procedural necessity.
Exodus 28:41: And thou shalt put them upon Aaron thy brother, and his sons with him; and shalt anoint them, and consecrate them, and sanctify them, that they may minister unto me in the priest's office. [consecrate...: Heb. fill their hand]
Contradiction with Hebrews 7:11-12
Hebrews 7:11-12 discusses a change in priesthood and law, implying a contradiction to the fixed priestly lineage described in Exodus 40:14.
Hebrews 7:11-12: If therefore perfection were by the Levitical priesthood, (for under it the people received the law,) what further need [was there] that another priest should rise after the order of Melchisedec, and not be called after the order of Aaron?
Contradiction with Hebrews 10:1
Hebrews 10:1 suggests that the law is a shadow of future things, indicating the ordination mentioned in Exodus 40:14 could be considered temporary or insufficient.
Hebrews 10:1: For the law having a shadow of good things to come, [and] not the very image of the things, can never with those sacrifices which they offered year by year continually make the comers thereunto perfect.
Contradiction with Matthew 9:13
Matthew 9:13 prioritizes mercy over sacrifice, contradicting the ritualistic focus of anointing in Exodus 40:14.
Matthew 9:13: But go ye and learn what [that] meaneth, I will have mercy, and not sacrifice: for I am not come to call the righteous, but sinners to repentance.