Happenby and Poche, you are missing the point. You assume that just because the consecration MIGHT BE valid (Card Ottaviani, one of the top theologians said this is doubtful) that the mass is pleasing to God. No, no, no. The Eucharist is a sacrament, and mass is mass. Two TOTALLY different things.
If the priest starts a TLM and dies right after the consecration, canon law says the mass is incomplete, therefore not a mass.
If a priest says a TLM but does not receive his personal communion, there is no mass. If the priest omits the Offertory in a TLM, there is no mass, even though the consecration would be valid.
How much more is there doubt about a NOM, wherein the Offertory, Canon and Communion prayers have been gutted, and the words “sacrifice”, “offering”, “Oblation”, “sin”, etc have been TOTALLY DELETED? These changes affect the mass, even if they don’t affect the consecration/Eucharist.
The mass is the mass; it is for God and its intentions and purpose are affected by the 3 PRINCIPLE PARTS - offertory, canon, communion. The mass is bigger than just the consecration.
I think you are mistaken on some points. When you said, "If a priest says a TLM but does not receive his personal communion, there is no mass. If the priest omits the Offertory in a TLM, there is no mass, even though the consecration would be valid." It the preceding instances the mass would be a valid mass but it would have been improperly said.
For the benefit of those who do not have access to the TLM I think we should recognize that Jesus is truly present in the Eucharist. This Eucharistic Jesus has a love that is so great that he willingly comes to through the hands of the unworthy priest so that he can be with us.