not a real good analogy...your statement indicates the Christ came to Earth to establish a new covenant with mankind, did so, sent the paraclete, and then let His church lapse into apostasy for one thousand six hundred years, and then went the Reformers to fix it....God is FAR more efficient than that.
Just like happened to Israel. They also have been in error since Christ was crucified. Are you saying the Jews have not been let in their error since? Whats so great about the 1600 years you claim the RCC was there before Luther? If your contention that God would have never let the Church lapse into error held any validity than the Jews would still be faithful to Gods word because they after all were His chosen people. That meme of how long the RCC has been in existence hold no credibility. Time and time again Gods people have fallen away from worshiping Him in the way He commanded. And time and time again God has brought something to put them back on track.
Its time Catholics understand that they are still with the group who stayed under the curse rather than repent and change.