Matthias was not an Apostolic Successor. He was uniquely chosen by the Holy Spirit through the Apostles, lead by Peter, to be one of the twelve.
Other men, who were not strickly among the twelve were also considered Apostles in a wider sense. They were sent out by Jesus, but were not appointed to the core 12.
This shows that there are levels of authority among leaders. Peter excercised authority among the 12. Yet he was still an equal in faith.
There is a danger in trying to pit leadership within the Church against the general priesthood of the people and vice versa. The bible shows a unity among the two which worked in harmony. Catholicism does not contradict that, but we learn that there is leadership and structure for a reason. We learn that Confirmation can only come from a singular source. The Church was founded by Jesus with a singular office. The office of Papacy upholds the core Teachings of the Church.
Bishops were appointed by the apostles, and the place which they themselves had authority over where replaced by bishops after their death. We don’t only have 12 Bishops in the Church, because it is not dependent on only continuing one office. The Church grew and more bishops were appointed by existing Bishops to the expanding areas. Nowhere in Scritpure do we see evidence of men becoming leaders in the Church without being appointed by an existing leader.
St Paul Taught Timothy, whom he handed on authority to, to appoint bishops and deacons.
Also, concerning the Holy Spirit and appointing and sending men, it was not done outside the Church.
Acts 13 Revised Standard Version Catholic Edition (RSVCE)
Barnabas and Saul Commissioned
13 Now in the church at Antioch there were prophets and teachers, Barnabas, Symeon who was called Niger, Lucius of Cyre′ne, Man′a-en a member of the court of Herod the tetrarch, and Saul. 2 While they were worshiping the Lord and fasting, the Holy Spirit said, “Set apart for me Barnabas and Saul for the work to which I have called them.” 3Then after fasting and praying they laid their hands on them and sent them off.
4 So, being sent out by the Holy Spirit,] they went down to Seleu′cia; and from there they sailed to Cyprus.
Even Paul knew that he needed to be Confirmed through the Apostles. He laid his gospel before them so there was no doubt that he was preaching something different than the Church. He did not seek Peter’s confirmation, but Jesus’ Confirmation through Peter.