The singularity doesn't mean that we get an AGI Day with a big announcement from The People In Charge that intelligence has been solved once and for all. It simply means that the frequency of "this changes everything" and "rumored model X at lab Y passes benchmark Z at 110% in less-than-zero-shot" style posts increases monotonically for ever.
Or it will just become seen as a category error. We don't often go around talking about "artificial general strength" or "artificial super-strength", even though it's easy to build a claw arm which can exert more force in any direction than any human can.