Yes, the lots, (A method the current twelve used) was a divine revelation to them. Certainly not the way a Pope is chosen now.
While the eleven casted lots Jesus acted on His own and hand picked Saul/Paul. This added even more questions about the “line”.
“(A method the current twelve used)”
Sorry, “current eleven”, Paul was not “there” yet.
What? You want Jesus to appear and hand choose Apostles each time one dies? I think a little divine inspiration from the Holy Ghost makes more sense. The scriptures don't spell out how Apostles are chosen other than the original 12 and Matthias. Considering that Matthias was chosen by divine inspiration of the remaining Apostles, it would seem that would be how things proceeded after the Ascension.