It’s not about archaeology. It’s about timelessness and universality.
Aramaic (language of the Gospels) is still spoken in some areas.
Hebrew (language of the Old Testament) is still used by the Chosen People.
Greek (language of the Letters) is the epitome of timelessness and universality.
Latin is a dead language. Save for rituals and archeology, nobody uses it. Save for a very few then-contemporary references, it was not used for the Bible.
Insistence on using Latin for mass is a non-sequitur.