You will find true Protestants have a wary eye to anyone who claims to be divinely inspired, including those who claim the infallibility of the Pope. We simply don't believe that. All men are subject to error and all writing is error-prone except the scriptures. There is no greater truth among Protestants than to verify everything through scripture. That is the meaning of Sola Scriptura.
Where the Church fails is simply in placing their faith in either a man (e.g. the Pope) or in a select few body of men. For all practical purposes, the Church really no longer believe in the Holy Spirit as a guider to all truth for an individual. They believe in "traditions" of the Church-oh yeah, scripture where it fits. Yet scripture tells us you are sealed with the Holy Spirit. So what exactly does the Holy Spirit do all day long inside you?
Catholics don’t believe the Pope is divinely inspired. Just that when defines a doctrine that is already universally held the issue can’t be revisited.
Protestants seem to believe in their own infallibility when it comes to interpreting scripture.