Hmmm. That would be like saying that Star Trek is the correct version of what will be our technological future because they murdered all the Star Wars fans over which version of a fictional story is "true".
They're both still fiction.
You're also willfully choosing to ignore all the inconsistencies and incongruities in what texts were chosen for Canon.
How convenient.
And also …. Matthew 20:25–28.
Whatever word Jesus actually used when talking about Peter being the foundational rock, it’s clear it could not have been one that described an institution. It goes against Jesus' ethos in every way.