@Quid est Veritas? First, Quid > Acts chapter one > we see how the disciples started in prayer after Jesus ascended. And Peter led them to select the replacement for Judas. They did things in prayer with one accord.
Then, when there was the issue about if Gentiles must keep the law of Moses, they met and eventually did what they did with unanimous consent > in Acts 15 < at first, it seems to me, various people had their say, but God used Peter to lead them all to what turned out to be with unanimous agreement.
So, this was basic to how the apostolic succession worked, then: there was prayer until they were of one accord; God's approved leader taking charge of the matter of business; and the result was with unanimous agreement of believers. Plus, it appears the leaders took care of things in meeting with the non-leader believers; there was not secret and isolated stuff and politics.
And there was that time, though, when Peter messed up big-time > Galatians 2:11-13 > and "even Barnabas" went along with the "hypocrisy". But Paul corrected the situation, I understand. So, God used an approved person to correct a wrong leader. Therefore, I understand we can expect efficient correction of leadership if a group is operating in the true apostolic succession.
Paul gave directives to Timothy and Titus, about whom to appoint to take care of God's people > 1 Timothy 3:1-10 > Titus 1:5-9. So, those appointed men would be higher than pastors, I consider, therefore what in hierarchy could be called bishops. And they answered to Paul; so I would think that would make Paul a cardinal or a co-pope with Peter . . . something like this. So, in any case, there was hierarchy and overall organization.
And Hebrews 13:17 does say we are commanded to obey those whom God has approved to take care of us, I understand.
But we need to be able to tell the difference between who meets the Biblical qualifications of a leader, versus others who are not approved example leaders > you might note 1 Peter 5:3. Just because ones say they have the apostolic succession, this does not mean it is do. Also, I have no way of knowing how people in past history could have influenced historical reports, in order to make themselves look like the true succession; I consider now how our true leaders may not have been involved in politics and power playing and publicity, because they were "examples" (1 Peter 5:3) living in real lives with us the sheep so we could know them personally and feed on their good example > they may have been too quiet and humble, to be getting major attention which got written down, not to mention how there was no media then for worldwide spreading of things.
And - - - God knows whom He approves; and since I am not God, there is no way I can know for sure about a religious leader or group, unless God personally communicates with me. Because I am not God to know the hearts of anyone who makes their claims.
What of Corinth or Athens for instance?
If there is something to the "First Epistle of Clement", this letter is to Corinthians, about how certain rogues put out the approved leaders in the church in Corinth. This letter includes description of who qualifies to be one of Jesus Christ's leaders, plus how there was universal consent of the believers, about who was qualified and approved. And, by the way, the letter itself does not name Clement, plus it is written with "we" and "our" and "us", never an "I".
And I think you can see for yourself who has kept to these standards of 1 Timothy 3:1-10 and the First Epistle of Clement. I understand it is our responsibility to make sure in prayer with God, about whom God Himself trusts to take care of us. And if God trusts a certain leader, surely He expects me to. But this does not mean to only go by people's say-so, but make sure with God who knows.