Nevertheless, I perceive that Paul is the last of the twelve Apostles because he was chosen and directly taught by Christ, like the other Apostles. Also, the lots were cast for Matthias before Pentecost.
For me, it is a matter of Who did the choosing. But one day we'll know for sure.
And the foundations of the wall of the city [were] garnished with all manner of precious stones. The first foundation [was] jasper; the second, sapphire; the third, a chalcedony; the fourth, an emerald; The fifth, sardonyx; the sixth, sardius; the seventh, chrysolite; the eighth, beryl; the ninth, a topaz; the tenth, a chrysoprasus; the eleventh, a jacinth; the twelfth, an amethyst. - Revelation 21:19-20
John 20:22 says "And when he said this, he breathed on them, and saith unto them, Receive ye the Holy Ghost." This was BEFORE the day of Pentecost, when they received power. In John 20:22 they were given their commission and given the power- of- attorney to do the works of Christ. This included the keys to the kingdom, retaining and remitting of sins, and the power to "whatsoever thou shalt bind on earth shall be bound in heaven: and whatsoever thou shalt loose on earth shall be loosed in heaven." Matt. 16:19.
When they met to choose a replacement for Judas, they had the power of attorney to bind in heaven what they were binding on earth.
Because of this power of attorney they had been given by Christ, I don't understand how they could be "wrong" about their choice of Matthias.
But at the same time, I do not want you to think I am arguing a point with you..:) I am just reading their commission differently than you, I suppose.:)