Well, in a way, they're right. You could consider the printing press, or the aeroplane, or electricity, or the telegraph, to be a mini-"singularity" event since it drastically changed the world in ways unpredictable beforehand. "Singularity" doesn't necessarily equate to "rapture of the nerds where AI gods make everything awesome (and/or kill us all)", it just means "point where things get weird and we can't predict what will happen next."
Well that's IMO devoiding the word of original meaning then. You're referring to a revolution, which is a well established term, not a bona fide 'Singularity', which comes from mathematics as a point where the speed of change properly diverges -- as would be the case if we had a geometric time series of events with constant improvements.
This usage of the term really originated in the context of rampant intelligence growth (through a supposed explosive self-improvement), see the wikipedia article:
for the singularity term to mean something it has to involve the mechanism of a starting point from which on change ever increasingly accelerates. The singularity can't 'slow down' so to speak. That's simply a 'paradigm change' or a significant disruption of which we had lots.
As the name suggests if the 'singularity' exists there's only going to be a single one.