Some people are less attached to wrong opinions than others.

For example:

When Joseph Fielding Smith confronted directly about this [statements he made about space exploration being against God’s will], he apparently shrugged and said “Well, I was wrong, wasn’t I?”, an attitude shared by regrettably few of his fans. (Press Conference, 23 Jan 1970; David Farnsworth reprinted in March 2015 Ensign)

Is freely admitting when we are wrong a good thing or a bad thing? Does it change being wrong?

Does it change how firmly we should hold opinions?