Matthew Poole and continuators on Hebrews 8:4

4 For if he were on earth he should not be a priest , seeing that there are priests that offer gifts according to the law ;

This gives the reason why the Levitical Gifts and Offerings were inconsistent with Christ's Priesthood: for if he were earthly for Person or Office, or was existing on Earth, or in an earthly Sanctuary or Tabernacle proper to the Law, he could not by divine Ordination be an offering-Priest, being not of Aaron's Family, nor of the Tribe of Levi, nor such a Priest as he was made by God's Oath aft[illegible: 1 letter]r Melchisedec's Order, if he were for Temper, Office, or Place of Ministry earthly.

This earthly Office, State and Work, was by the Law setled on Aaron's Family, and none could legally offer Sacrifices or Gifts in God's earthly Tabernacle or Temple, but his Sons alone. Christ as he was not of that Tribe, so he never was either in the Court of the Priests, or in the holy place in the Temple, neither did minister in them as a Priest at all; this was proper and peculiar only to his Types.

Marginal references: Or, they are Priests.