Except they aren't. Prots have been cut off as they are literally protesting Jesus' decision to give the keys to the kingdom to St. Peter. The fact that you can't trace your succession to the Apostles is proof that you hold the traditions of men like Luther and Calvin over the teachings of those that were literally there with Christ.
Pope Clement I
>“Through countryside and city [the apostles] preached, and they appointed their earliest converts, testing them by the Spirit, to be the bishops and deacons of future believers. Nor was this a novelty, for bishops and deacons had been written about a long time earlier. . . . Our apostles knew through our Lord Jesus Christ that there would be strife for the office of bishop. For this reason, therefore, having received perfect foreknowledge, they appointed those who have already been mentioned and afterwards added the further provision that, if they should die, other approved men should succeed to their ministry” (Letter to the Corinthians 42:4–5, 44:1–3 [A.D. 80]).