I wonder why Noe does not appear, together with Abel, Abraham, and Melkizedek, in the Supra quae of the Canon Romanus. This is all the more pertinent a question since Noe does appear, with the others, in the Apostolic Constitutions and in the Liturgies of S Basil and of S James.
I don't have a cut-and-dried answer to this - perhaps correspondents will have contributions - but my suspicion is as follows. The other three have a very much stronger symbolic or typological relationship with Christ and with his Sacrifice. Abel, dikaios like Christ, was a Shepherd and offered, let us say, a Lamb. Abraham, our Father by virtue of his and our Faith, offered on Mount Moriah (which was to be the Temple mount and the place of Christ's Sacrifice) a sacrifice which was in a sense the offering of his Son but was offered per modum of a ... grown-up lamb. Melkizedek offered Bread and Wine, suggestive of the Eucharist ... and the Writer ad Hebraeos gives further reasons for linking Melkizedek typologically with Christ.
I expect there is some important factor which I have missed ...??