It would be superfluous, for that is what we are in the line of Melchizedek priesthood with Jesus Christ as our High Priest. Peter:
Ye also, as lively stones, are built up a spiritual house,
an holy priesthood, to offer up spiritual sacrifices, acceptable to God by Jesus Christ.
Here's Vines Expository Dictionary of New Testament Words:
Priesthood, Priest's Office:
denotes "a priesthood" (akin to
hierateuo, see below), "a body of priests," consisting of all believers, the whole church (not a special order from among them), called "a holy priesthood,"
1Pe 2:5; "a royal priesthood,"
1Pe 2:9; the former term is associated with offering spiritual sacrifices, the latter with the royal dignity of showing forth the Lord's excellencies (RV). In the Sept.,
Exd 19:6;
23:22.