Do tell me why chose Julius II and Paul IV
Pope Paul IV was extremely orthodox and gave heretics and liberals no quarter. He recognized the Catholic queen of England, Mary, over the Protestant Elizabeth as the legitimate ruler of England. His Papal bull
cuм Ex Apostolatus Officio (which, if I remember correctly, was referenced in the 1917 Code of Canon Law), explicitly prohibits manifest heretics from validly obtaining ecclesiastical office, especially with the Papacy. He built a wall to quarantine the Jews in Rome and made them pay for it (Trump, take notes!), and declared that no more than one ѕуηαgσgυє could exist in each city, which led to the destruction of seven ѕуηαgσgυєs in Rome. He also appointed the future Pope St Pius V as the Supreme Inquisitor. He mercilessly stamped out clerical corruption In summation, he was radically orthodox and did everything in his power to safeguard Catholicism against the rising threats of the time.
Pope Julius II did a lot to strengthen Papal influence in Europe and funded great works of pious art. He also (rightfully) liberated the Papal States from the corruption of the Borgias, delivering a scathing rebuke of the Borgia Pope Alexander VI. He also personally led the Papal army in battle.
While both men certainly had their flaws throughout their lives, I think it's reasonable to believe that both were in a state of grace when they died based on what was written about them at the hour of their deaths. They're definitely not first ballot candidates for sainthood, as a advocatus diaboli could easily bring forth arguments against them. However, I think both of them exhibited bravery and a love for the Catholic faith that hopefully inspires passion for the faith.