Yes, but we don’t have any doctrine of complete “infallibility” for prophets, scriptures, councils, or whatever. For LDS, the major point of having prophets, etc., is to help people learn to get in touch with God themselves. If God were to give “infallible” statements to humans, then I think many people would be content to just do what they’re told without thinking and experiencing God’s revelations for themselves.
I certainly don’t think all Catholics are that way, but consider the numerous people who have posted on this thread saying that they don’t care what anyone says, or what evidence is presented, they know Catholicism is the true Christian Church, so THERE! I think they get too comfortable with what someone else told them about “infallibility” and history, and can’t deal with it when someone argues against their viewpoint. They don’t even point to any personal religious experiences, or anything. It’s just that somebody said… etc., and they don’t even know who said it.
And by the way, if you were to read everything Joseph Smith or Brigham Young are recorded to have said, I think you would find that they differed with modern LDS on a few issues, but the vast majority of issues are quite consistent.