Yes, these two events did not happen at the same time and so indeed have different circumstances surrounding them. The question is, are the two subjects completely different? In John you agree Jesus was speaking of laying down his life for the sheep. An important requirement in order to accomplish the atonement.
But what of chapter 5 of John. Was Christ strictly speaking of Sabbath observance? As you said, he was being accused of healing on the Sabbath. But also of making himself equal with God. In the next verse Jesus shows his humility by indicating he can do nothing but what the Father has done. Jesus continuing in his thoughts In verse 21 he says, “For as the Father raiseth up the dead, and quickeneth them: even so the Son quickeneth whom he will.” Then in verse 25 and 26, “Verily, verily, I say unto you, The hour is coming, and now is when the dead shall hear the voice of the Son of God: and they that hear shall live. For as the Father hath life in himself: so hath he given to the Son to have life in himself;…” These scriptures would seem to be rather clear allusion to the resurrection, another vital requirement for the atonement. They also indicate the link between the life found in the Father and the Son.
So both scriptures are alluding to the Sons great and last sacrifice and are not so different in theme.
On a different subject … how do Mormons deal with the fact that both Joseph Smith and Brigham Young practiced polyandry with multiple men’s wives ?
I had no idea until just recently.
Ann Eliza Young, who had been married to Brigham Young, said this:
"Joseph not only paid his addresses to the young and unmarried women, but he sought ‘spiritual alliance’ with many married ladies… He taught them that all former marriages were null and void, and that they were at perfect liberty to make another choice of a husband. The marriage covenants were not binding, because they were ratified only by Gentile laws… consequently all the women were free…
"One woman said to me not very long since, while giving me some of her experiences in polygamy: ‘The greatest trial I ever endured in my life was living with my husband and deceiving him, by receiving Joseph’s attentions whenever he chose to come to me.’
"This woman, and others, whose experience has been very similar, are among the very best women in the church; they are as pure-minded and virtuous women as any in the world. They were seduced under the guise of religion,…
“Some of these women have since said they did not know who was the father of their children; this is not to be wondered at, for after Joseph’s declaration annulling all Gentile marriages, the greatest promiscuity was practiced; and, indeed, all sense of morality seemed to have been lost by a portion at least of the church.” (Wife No. 19, 1876, pages 70-71)
I read this from an LDS apologist…
In an article, published on LDS FAIR (The Foundation for Apologetic Information & Research) web site, apologist Samuel Katich confirms the Church’s acceptance that Joseph Smith did marry a number of women who were already legally married to other men. He says:
“Perhaps one of the most misunderstood aspects of Joseph Smith is that of his plural marriages to women that were already married to other men. This paper examines the forms of marriage in practice and looks at each of the women and men involved in the relationships in an attempt to better understand these unique marriages. Joseph Smith was eternally married to what currently are argued to be between eight and eleven already married women. If we consider only those eight marriages that can be adequately documented, we find that six of the marriages occurred within an eight-month period between late October 1841 and June 1842. Two more marriages occurred early in 1843. The women ranged in age from 20 to 47, with an average age of 29. Of those eight marriages, five were to women who had Mormon husbands and three were to women married to disaffected members or non-Mormons. Three of the women’s first marriages to Mormon husbands and two of the marriages to non-Mormons lasted until death. The other three remaining marriages ended later in life after Joseph’s death in 1844. In all cases the women continued to live with their first husbands. Technically, a woman with more than one husband is defined as being involved in a polyandrous relationship, or practicing polyandry.”
fairlds.org/pubs/polyandry.pdf