Peter believed the writings of Paul to be scripture as he included them with scripture.
2 Peter 3:15b. As also our beloved brother Paul wrote to you, according to the wisdom given him, [16] as in all his letters, speaking concerning these matters, in which some things are hard to understand, which those who are untaught and unstable twist to their own destruction, as they do also THE OTHER SCRIPTURES. [17] You then, beloved ones, being forewarned, watch lest you also fall from your own steadfastness, being let away with the delusion of the lawless.
That's impossible, for in magnifying Rome as if it were God, it is argued by Catholics there were no Scriptures until Rome gave and established them, thus the Church was founded on something that didn't exist.
And as the Jesus in the gospels - which is really all that matters - did not command the disciples to write His words, then "be the church" meant to go into the "world, to teach, and to baptize," without referencing or writing Scriptures, and which they did on their own.
A different church indeed.