I think the film version makes it seems like they are one in the same, especially since the film does not give the time to explore 'nature and nurture' argument from the point of creation, but the novel makes it much more of a debate. And so this answer may be marginally relative for those that wonder about the possibility, since it DOES exist as a point of interest in source material.
Like many film adaptations The Prestige is, in some ways, a watered-down version of the novel, as the novel explores the duplicates a bit further, and in a slightly different way than the film does.
Instead of the clones being "corporeal" like the original Angier, they are incorporeal--ghost-like images. The novel ends with the incorporeal Angier reuniting with the corporeal one, whose dying with the hopes to use Tesla's machine to transport himself into the dead body of the original Angier! But the following paragraph from Wikipedia about a plot with incorporeal Angier and one of the Bordens makes clear that the incorporeal one does not follow through, because of his sense of morality--so one could argue that the incorporeal duplicate, may be more moral than the original Angier, depending if one views Angier as amoral.
The duplicate Angier, alienated from the world by his ghostly form,
discovers Borden's secret. He attacks one of the twins before a
performance. However, Borden's apparent poor health and the duplicate
Angier's sense of morality prevent the assault from becoming murder.
It is implied that this particular Borden dies a few days later, and
the incorporeal Angier travels to meet the corporeal Angier, now
living as the 14th Earl of Colderdale. They obtain Borden's diary and
publish it without revealing the twins' secret. Shortly afterwards,
the corporeal Angier dies and his ghostly clone uses Tesla's device to
teleport himself into the body, hoping that either he will reanimate
it and be whole again, or kill himself instantly. It is revealed in
the final chapter that some form of Angier has continued to survive to
the present day. https://en.wikipedia.org/wiki/The_Prestige