I hate to wade into these dogma issues because my opinion on these type of things maybe different from others and I hate to start an argument about scripture. But the same claim can be made for Anglicans, Lutherans, Methodists or Baptists among other Christian denominations. The only religion that feels that their authority is derived from Jesus telling Peter that is the Catholics. This is the way that I understand it, that Catholics view the pope as an extension of the authority given to Peter by Jesus. And that Luther and others had a problem with the idea of a Pope who felt that he derived that authority that way. They then created denominations that were separated from the Catholic Church.
If I am wrong please let me know, but that is how I have always understood how Catholics view the Pope.