How do we explain the visions of the Latter-day prophets who have seen and spoken with the Savior? Are they lying or deceived?

President Lorenzo Snow’s son LeRoi C. Snow recounted the following experience of Allie Young Pond (President Snow’s granddaughter):

“One evening while I was visiting Grandpa Snow in his room in the Salt Lake Temple, I remained until the door keepers had gone and the night watchmen had not yet come in, so grandpa said he would take me to the main front entrance and let me out that way. … After we left his room and while we were still in the large corridor leading into the celestial room, I was walking several steps ahead of Grandpa when he stopped me and said: ‘Wait a moment, Allie, I want to tell you something. It was right here that the Lord Jesus Christ appeared to me at the time of the death of President Woodruff. He instructed me to go right ahead and reorganize the First Presidency of the Church at once and not wait as had been done after the death of the previous presidents, and that I was to succeed President Woodruff.’
“Then Grandpa came a step nearer and held out his left hand and said: ‘He stood right here, about three feet above the floor. It looked as though He stood on a plate of solid gold.’
“Grandpa told what a glorious personage the Savior is and described His hands, feet, countenance, and beautiful white robes, all of which were of such a glory of whiteness and brightness that he could hardly gaze upon Him.
“Then he came another step nearer and put his right hand on my head and said: ‘Now, Granddaughter, I want you to remember that this is the testimony of your grandfather, that he told you with his own lips that he actually saw the Savior, here in the temple, and talked with Him face to face.’”
… I related this experience in the Eighteenth Ward sacramental service. After the meeting Elder Arthur Winter told me he also had heard my father tell of the Savior’s appearance to him in the temple instructing him not only to reorganize the First Presidency at once but also to select the same counselors that President Woodruff had, Presidents George Q. Cannon and Joseph F. Smith.
– An Experience of My Father’s,” Improvement Era, Sept. 1933, 677, 679

Why would President Snow say this experience happened? Why think the story is not true if it was told to multiple people?

See:

N.B. Lundwall – When Lorenzo Snow Saw the Savior in the Temple (+ What He Looked Like)

Add