It does indeed.

God gave Adam and Eve two great commandments : Go forth and multiply and replenish the Earth being the the first and foremost and Partake not of the fruit of the tree of knowledge of good and evil.

This second commandment is really more of a notification of the impact which an understanding of the consequences of an incomplete knowledge of good and evil will have on the status of Man's sanctity. Since no sinful entity can abide the full presence of God, once Man has partaken of the 'fruit', God would have to leave Him to Himself and send the Holy Spirit to guide Him as He, God, could no longer walk and talk with Him in the Garden. The sinful state would separate Man from God for the full term of schooling, followed by the sanctification the Redeemer would provide through Self sacrifice, which would balance the scales of justice which demand an eye for an eye.

In order for Man to progress, from the Pure Spirit being which He had been to date,( i.e. before taking up residence in the body, which in His case, Adam and Eve, was not yet mortal) to the being He would be after His foreordained sojourn in the school of mortality, in which he would learn to walk by faith and to subdue the physical body to the will of a righteous spirit, He would indeed have to go through the development of a knowledge of the consequences of good and evil and thereby become sinful in order to exercise His agency and choose the path which would lead Him to a fully qualified status as a Righteous Son and Daughter (the two shall be one flesh) of His Heavenly Father.

The School of Mortality could not be inaugurated until the second commandment was 'broken', until the fall, and the first commandment could not be obeyed until the second was broken and reproduction was possible.

The breaking of the second commandment was not a sin (willfully transgressing God's command) but merely a transgression, performed without a knowledge of the consequences of good and evil.

The breaking of the second commandment was indeed an integral part of the program by which Man may progress toward his foreordained status as a fully fledged Son of God.

Original Sin is one of the most important corruptions and a sound understanding of the true doctrine really is necessary to grasp the full Gospel.