[curiousgeorgio]

Thanks for the insight. A lot of the difference seems to arise from a different interpretation of the word salvation. In some contexts, that does (as you mention) refer to a covenant relationship with Christ. In other contexts, salvation (as understood in The Church of Jesus Christ of Latter-day Saints) may refer to our desired state after this life, also known as exaltation or eternal life, which is to know Heavenly Father and Jesus Christ and dwell with Them forever.

Or as John put it: "And this is life eternal, that they might know thee the only true God, and Jesus Christ, whom thou hast sent." (John 17:3)