@FBM,
we do have several occurences of cyanobacter in several different formational units around the world. It really dosnt matter because we have to go back and envision what the continental pltes looked like in pre COLUMBIAN times. Its assumed that most of the tidal areas and neritic zones were actually "connected" so whatever evolved in one area was soon to catch on elsewhere.
In these shallow and neritic zones We can actually see evolution of the stromatolite body as a colonial "island" of commensalism wherein cyanobcters and anaerobes lived in a deadly balance. These can be seen, from the first fossils (of the APEX CHERT in Australia)(the ISUA formation of Greenland) To the exclusively cyanobacter "loaded" banded iron formations of the Ediacaran units and circum- SHield deposits.
The latest evidence seems to support the gradual "super adaptation" of cyanobacter over facultative anaerobes, so that the anaerobes actually are seen in decline under SEM scans of progressively later and lter cherts , shales nd then iron banded formations.
There is still a bit of argument over whether all the "filamentous" units are anaerobes or another new heretofore unknown phylum.
So, it appears that everyone lived together in a careful balance that slowly got tipped in favor of the blue-greens due prhaps to a change in solar energy absorbance and changes in the pH of the water in the tidal areas thus outcompeting the anaerobes.
Then came n EDiacaran "explosion" wherein at least 3 phyla showed up in the fossil record well before the so-called "Cambrian Explosion"
Is it fact? so far its got some decent evidence and nothing conflicts with it