It is still unclear how you arrived at that conclusion.
While in the NAB, this grouping of verses appears under the unfortunate caption “The Choice of Judas’s Successor”, the Scripture is pretty clear:
BTW - in the Ignatius Press NT Study Bible, the caption is the more fitting “Matthias Chosen to Replace Judas”. One of the footnotes (to verse 26) offers that “the need to replace Judas was probably dictated by the symbolism of the number twelve, recalling the twelve tribes of Israel. This symbolism also indicates that for Luke (see Lk 22:30) the Christian church is a reconstituted Israel.”
Surely no one would assert apostolic succession from Judas, nor should the selection of a worthy replacement among the twelve be even seen as a “succession” if you will from Judas. It is pretty clear that Judas abandoned his place among the Twelve.
Look at Acts 1:20. The DR has this verse as:
"For it is written in the book of Psalms: Let their habitation become desolate, and let there be none to dwell therein. And his bishopric let another take…’ [DR]
The RSV has the verse as:
"For it is written in the book of Psalms, ‘Let his habitation become desolate, and let there be no one to live in it’; and ‘His office let another take.’
Notice the different words used here. The DR has the ord ‘bishopric’ while the RSV uses the word ‘office’ Both aretranslations of the Greek word
episkope. That Greek word should be familiar to you as it is used later on in the epistles of Paul to refer to bishops and our words refering to bishops are derived from it.
Peter is talking about two things, first he is talking of Judas’ Apostleship. Judas’ house is desolate. Why? Recall that while Judas was chosen to be an Apostle by Christ he was never sent which is the . In addition, Judas did not receive the authority to consecrate the Eucharist as he left the Last Supper before it was instituted nor did he receive the authority to forgive sin as he was dead when that authority was delegated. So his apostleship was desolate. BUT, Judas was also something that the other Apostleswere and that was that he held the office of Bishop. So peter is calling for someone to step into the office of bishop that was to be Judas’ But he does not call for another Apostle because to be an Apostle one has to be called by and sent by Christ.
Now to a degree we are all called to be apostles. But when we use the term Twelve Apostles we are not using it in a generic sense but rather a much more specific meaning of that select group sent out by Christ. Neither Judas nor Matthias were sent by Christ. But Paul was post certainly sent by Christ and you will find that in Acts 9:15 when the Lord speaking about Paul to the disciple Anani’as says:
"15 But the Lord said to him, “Go, for he is a chosen instrument of mine to carry my name before the Gentiles and kings and the sons of Israel;” [RSV]
Paul is the Twelfth Apostle, not Judas, not Matthias. Mathias is the scriptural evidence for the Succession of bishops emanating from the Apostles. Now if you wish to maintain that he was an Apostle following another Apostle then please tell me which Apostles followed the other eleven Apostles.