I had never made this connection as it relates to this phrase from D&C 76:51:
"Received the testimony of Jesus, and believed on his name. Two separate concepts are mentioned here. First, those who obtain a place in the celestial world will do so on the strength of their testimony of Christ. In addition to that testimony, they must also believe on the name of Christ. That is, they must also accept and reverence those who come in the authority, or the name, of Christ. They must respect the authority of the priesthood and all of its offices. Not only must they have accepted Christ, but they must also have complied with all the laws and ordinances of his gospel. They must accept and sustain the president of the Church, the Twelve Apostles, and all those who have been called to preside over them in the government of the kingdom of God. In the true and proper sense of things, one cannot accept Christ and at the same time reject those he has sent to act in his name. In the meridian day one could not truly profess to accept Christ while rejecting Peter, James, and John. Similarly, in our day people cannot genuinely profess to accept Christ but reject the testimony of Joseph Smith or his lawful successors in the presidency of the Church, nor can they reject the ordinances of salvation as they are found in that Church. Only by accepting these things can one take upon themselves the name of Christ and believe on his name."
From Revelations of the Restoration, p. 527