A Timeline of Apostolic Succession & the Emergence of the Episcopate
The Catholic claim is not that bishops appeared centuries later as a bureaucratic convenience. The claim is that Christ appointed apostles, the apostles appointed successors, and the earliest Christian writers — many of whom personally knew the apostles — testified to this as normative, intentional, and essential.
In fewer than 150 years — well within the reach of living memory — the documentary record shows Christ commissioning the Twelve, the Twelve appointing successors, Paul describing a four-generation chain of authority, a named co-worker of Paul writing as Bishop of Rome to enforce apostolic order, a personal disciple of John using the phrase "the Catholic Church" as if everyone already knew what it meant, and a disciple of Polycarp (who was himself a disciple of John) listing by name every Bishop of Rome from Peter to his own day.
This is not a gap to be explained away. It is a chain with no missing links.
The question is not whether apostolic succession was the practice of the early Church. The question is when — and why — anyone decided to abandon it.