To be upfront, I didn't look at Scott's site for this topic. But I have participated in a number of LDS Great Apostasy threads.
First of all, conversion is the action of an individual. It is not about two or three or more people converting to Christ at the same time in the same way and form.
Conversion is an individual process.
The universal Christian Church has held its same beliefs for 2,000 years, -- consistency of thought.
LDS and other 1800 restorationists still have not been able to find out when, speaking truthfully, the Catholic/Orthodox universal Christian Church apostasized. It never did. Individual members did.
So if the LDS is implying, as it has held in its past teachings that the Roman Church is apostate, and the protestants are her apostate daughters, -- apostasy coming to an established church -- then the Mormon Church is just as vulnerable to apostasizing.
It has changed its beliefs to the point it now publicly denies them. There is a new branch of Mormonism that is now discovering the writings of the early church fathers, but misinterpreting their teachings to support Mormonism's belief we progress to the day we become gods.
We are creatures, we are made in the image and likeness of God, we have free will and intellect, but we are creatures and always will be. In Christ, we are made heirs and partakers of divine life...but in experiencing the life of God in His Word and His sustenance through the Eucharist, and we live the gospel by being servants, and our hope is to be reunited to Christ in heaven....where then we enter the lives of the saints.
By 100 AD, the Church was already formally founded with practically all books of Sacred Scripture except the Book of Hebrews that took more time to discern, the foundation, spirit and tone of liturgy that is the same today, the episcopal model of church administration, and finally the foundation of doctrine and profession of shared faith: the Apostles Creed.
Furthermore, they will tell you that Constantine founded the Catholic Church, when there has been only one church. Constantine signed the Edict of Milan simply to make Christianity legal and make Sunday a day of rest for all his subjects in the empire. Constantine won the battles against two Roman emperors who were the worst who almost decimated Christianity, killed many bishops, and destroyed many church buildings.
Constantine had a dream or vision to put the emblem of the cross on his soldiers' shields. They won the battle and out of gratitude, he assisted in re-building many church buildings, assisted in discerning strong leadership in believers who were good candidates for the bishopry. Otherwise, he was a typical ruthless emperor like the rest, and they use his exploits to show what a bad Christian he was. They were wrong on that as Constantine did not be come a Christian until a few days before his death. The Christian side of his family was actually his mother, St. Helen who discovered the ancient cross upon which Christ had died.
It is good to spend more time on objective and documented early church history than to be bogged down by spin and cherry picking.