For someone like yourself who makes your religion up on the hoof, of course for the Church to be fallible is in your interest.
Christ said to His apostles, "He who hears you, hears me." Luke 10:16. The bishops are the successors of the apostles so logically he who hears them hears Christ.
What is illogical is to claim to be a Catholic yet deny and reject what the Catholic Church teaches. You are only concerned about the Church insofar as it doesn't teach what you personally believe.