“When men take the Holy Spirit out of the loop...”
As I said before, you are either not reading or not understanding the end of Acts 1.
Chosing by lots was very pagan.. still is.. The apostles were teenagers, some of them, at least very young.. They learned a lot as time went on.. Its you that don't understand the events.. Mattias was chosen by MEN... Paul was NOT.. In Acts ch 1 the Holy Spirit was not "given/installed" yet..