Swedish Rescue - Many leaders experienced a faith crisis. The worry was likely that people would lose faith in the church and its doctrines.
Boise Rescue - A few people took issue with current church leaders making claims to exclusive authority. The worry was likely that people would continue to have faith in most church doctrines but lose faith in current leadership.
Two very different crowds. The Swedish Rescue probably addresses concerns that people who land at StayLDS might share. I don't think we'd end up getting much out of the Boise Rescue. I believe the intent of the Boise Rescue was to minister to people somewhere on the orthodox spectrum to get them to acknowledge one set of leaders over another, things that don't necessarily speak to the needs of the unorthodox member.
I view the Boise Rescue as the modern day equivalent of D&C sections 28 and 43.
D&C 28 - Hiram Page used a stone to receive revelations for the church, likely the same method he had seen Joseph Smith use. This section is essentially a "Fayette Rescue"
Change a few names and you've got the Boise Rescue. Denver Snuffer has seen Jesus, similar to the way Joseph Smith was called to lead, he can step into the role of Hiram Page.But, behold, verily, verily, I say unto thee, no one shall be appointed to receive commandments and revelations in this church excepting my servant Joseph Smith, Jun., for he receiveth them even as Moses. And thou shalt be obedient unto the things which I shall give unto him, even as Aaron, to declare faithfully the commandments and the revelations, with power and authority unto the church.
D&C 43 - "Mrs. Hubble," I can't find a first name. Of Mrs. Hubble:
She was a believer, she knew the BoM to be true. I'll spare you lengthy quotes from section 43, but it reads a lot like the Boise Rescue.History of the Church, 1:154n, John Whitmer wrote:She professed to be a prophetess of the Lord, and professed to have many revelations, and knew the Book of Mormon was true, and that she should become a teacher in the church of Christ. She appeared to be very sanctimonious and deceived some who were not able to detect her in her hypocrisy; others, however, had the spirit of discernment and her follies and abominations were manifest.
What we have here is prophets of the church doing what prophets of the church have done. This is how stage 3 organizations teach no man can serve two masters. It doesn't minister to me, but I don't believe that was their goal.