While browsing through some works on Logos, I found the following two quotes from influential Christadelphians. Such is not a belief that is unique to Latter-day Saints:
35.—Why is man in his present
mortal and evil state?
Answer: Man is mortal because of sin. It
is God’s law that sinners must die. Adam, our first father, sinned, and was
sentenced to death before he had any children. Death began with him, and came
to us through him. We receive the nature that he had after he was condemned to
die. We thus inherit his sentence of death. Besides this, we are all sinners
ourselves. (Robert
Roberts, The Christadelphian Instructor [Logos Publications, 1969], 14)
We are sin’s flesh multiplied.
Adam and Eve had no children before the fall, and the first baby, Cain, was “of
the wicked one” (1 Jno. 3:12), and slew his brother Abel. Sin’s flesh is
unclean and condemned to death. But that, of course, does not mean that God is
angry with all the individuals of the race from babyhood upwards, including
even his beloved Son, of whom a certain church hymn says that “He met his
Father’s anger”! The truth knows no such enormity as this. This belongs to the
mythology of the old “Mother of Harlots,” from which and from whom we have
escaped. (Charles Curwen Walker, “The Putting Away of Sin,” in The
Christadelphian 43, no. 510 [December 1, 1906]: 555)