There is nothing in any of Peter's writings which even refer to his alleged position of being pope, the head of the church. He made no recorded singular major correct decisions as an apostle. He leaves no written instructions on how his successor is to be identified much less chosen.
Correct! Paul is the one who issues instructions on appointing oversears, elders and deacons. The papacy is the arch usurper.
1 Tim 3:2 Now the overseer is to be above reproach, faithful to his wife, temperate, self-controlled, respectable, hospitable, able to teach, 3 not given to drunkenness, not violent but gentle, not quarrelsome, not a lover of money. 4 He must manage his own family well and see that his children obey him, and he must do so in a manner worthy of full respect. 5 (If anyone does not know how to manage his own family, how can he take care of God’s church?)
1 Tim 4:1Now the Spirit expressly says that in later times some will depart from the faith by devoting themselves to deceitful spirits and teachings of demons, 2through the insincerity of liars whose consciences are seared, 3 who forbid marriage and require abstinence from foods that God created to be received with thanksgiving by those who believe and know the truth. 4For everything created by God is good, and nothing is to be rejected if it is received with thanksgiving, 5for it is made holy by the word of God and prayer.
Details, details.
No wonder they reject Scripture in favor of their tradition.