I'm not sure I'm following. We have had multiple line endings (based on combinations of two particular characters) in common use, without consolidating to a common standard, for decades -- why would introducing a third character have made that more likely?
Because the reason consolidation has not happened is simple: There's no right answer, as there's no code explicitly defined by ASCII for ending a line. A major oversight.
If a code had been timely assigned, we'd have the correct way (predominant), and the legacy ways (mostly gone by now).
We are talking about the early 80s at worst. It would have consolidated by now.