In the Eastern rites, and in the invented Eucharistic Prayers which were introduced into both Roman Catholic and Anglican worship in the 1970s and 1980s, the Epiclesis is treated as crucially important. The Holy Spirit is invoked to come and make the elements the Body and Blood of Christ. I am not a Byzantine and I have no interest in rubbishing their ancient and noble tradition. Nor would I stand for any 'latinising' of their tradition. The only criticism I have is of those Byzantines who encourage an Orthodox 'Western Rite' in which an epiclesis has been intruded into the Roman Canon. Because the epiclesis is not our tradition. And our tradition should not be Byzantinised.
At the beginning of the 20th century, liturgists commonly believed that the epiclesis was 'primitive' and must somehow have got 'lost' from the Roman Canon. If you have a copy of Fortescue, you will find an account by him of the various theories which were held about this; and the various ingenious attempts made to 'reconstruct' the 'original Roman epiclesis'.
A succession of distinguished Anglican scholars disposed of this nonsense. Yes: Anglican. I know that it is natural for Roman Catholics to feel that there is something impertinent in Anglicans playing in their backyard by taking such an interest in 'their' Canon. The fact is, the Canon is something which we lost 450 years ago - and then, in the middle of the 19h century, rediscovered. What you discover for yourself often means more to you than something that Daddy Tried To Make You Do.
Where Easterners call upon the Spirit to come down upon the elements, our ancient Western, Roman tradition asks the Lord to take his Church's offerings to the Altar on high. E C Ratcliff, one of our great Anglican liturgists, summarised this as "a ticket to the Royal Enclosure". That we, in the Mass, are swept up into the heavenly places with our offerings, which become his, so that we can be filled with all heavenly benediction and grace, is quite as august a notion of the Eucharist as the idea that the Spirit comes down upon us from above.
It also happens to be distinctly older. Look again at the paragraph Supplices te rogamus in your missal.