Early Christianity was propagated primarily by apostolic tradition, conveyed through preaching and teaching by missionaries from Palestine and Asia Minor, and not by the texts of the NT. The production and dissemination of NT texts, while unprecedented in its velocity in antiquity, only developed traction in the second and third centuries.
Most Christian communities had little to no textual reliance - it was personal transmission of faith and practice. At the time of Domition, in the late 1st century, textual transmission was in its infancy, but a claim of destruction of texts for expedience at the time Christians were quite prepared to suffer personal martyrdom is ridiculous. Similarly, claiming that Domition made the eradication of Christianity his life’s goal is absurd. It was little more than sporadic targeting of minorities for reasons (and indeed to an extent, geographically) that remain debated among historians of the period - the Domitian persecution was much less systemic than was once hypothesized.
So much arrant nonsense is spewed online by those with no historical credentials in the subject matter in an effort to discredit the Vatican. The Vatican discredits itself, but its infiltration and compromise dates to the Middle Ages.