Given the amount of testing being done in South Korea, we can rule out that there are a lot more people currently infected than we know aboutThat's a very strong claim. SK has done a lot of testing relative to most places but it's still:
a) A tiny amount relative to the population
b) Not a random sample of the population
Their tests were done at testing clinics that people had to take themselves to, which in many cases had large queues and generally you'd only go there if you actually felt really sick because otherwise why would you expose yourself to lots of probably really sick and infectious people?
So far there's overwhelming evidence that either a lot of people have the disease without symptoms, or the tests have a very high FP rate. There's also a lot of people writing like the person above, who are sure they've had the disease based on symptoms but were never tested. South Korea wasn't deploying their tests on people who were asymptomatic, they are doing the same as everyone else: testing people who present for testing or who otherwise seem to need it.