Wrong. Christ is the High Priest (as in Israel). You "do" recall that there were ancillary priests serving in the Temple?? All offering sacrifices. (And note that Christ is called "Arch" hierus by your own reference).
There is no barrier in Scripture to the presence of others with priestly offices.
Hebrews spends a lot of time denying your statement, but here is the crux of it:
Heb 10:14 For by one offering he hath perfected forever them that are sanctified.
Heb 10:15 Whereof the Holy Ghost also is a witness to us: for after that he had said before,
Heb 10:16 This is the covenant that I will make with them after those days, saith the Lord, I will put my laws into their hearts, and in their minds will I write them;
Heb 10:17 And their sins and iniquities will I remember no more.
Heb 10:18 Now where remission of these is, there is no more offering for sin.
Heb 10:19 Having therefore, brethren, boldness to enter into the holiest by the blood of Jesus,
Heb 10:20 By a new and living way, which he hath consecrated for us, through the veil, that is to say, his flesh;
Heb 10:21 And having a high priest over the house of God;
Heb 10:22 Let us draw near with a true heart in full assurance of faith, having our hearts sprinkled from an evil conscience, and our bodies washed with pure water.
(e-Sword:KJV)
Since we are all perfected by Christs singular sacrifice, since there are no further sacrifices required, and since we may boldly enter directly into the Holy of Holies, confident in the Blood of Christ, there is no need for any other intercessor. What function, then, the hiereus (priest) over the presbyter (elder)?
(And note that Christ is called "Arch" hierus by your own reference).
I used the 'Archiereus' reference specifically to illustrate unquestionable intercessory Priesthood, as I had stated. It has been a while since my study of this concept, but AFAIR, there is not a single use of 'hiereus' in relation to Christian worship whatsoever, with the singular exception of Christ as Archiereus.
There is no barrier in Scripture to the presence of others with priestly offices.
Nor is there any need.