No, that is not true., the Oparin-Hakdane - Urey models of a non oxygen atmosphere are relatively old, and are wrong on two counts, at least., Experiments by NASA have resulted in identifying a process called photo disociation. Simply put, when exposed to ultraviolet light, the alleged primal atmosphere very rapidly turns into oxygen. So, unless there was no ultra violet light, massive amounts of oxygen would have been present. Further, the ozone layer which protects us from UV light depends on an oxygen layer in the upper atmosphere, without that layer no ozone layer would exist, the earth would be bombarded with UV light and no life could exist. This is true for primal earth as well