No. Because while mild cases could be confused for flu, the severe cases have a rather unique progession and by the point everyone was looking for it. At the time because of a lack of tests there were a lot of "presumptive" cases which probably weren't CV in fact, given that about 90% of tests on those with symptoms that merit further look came back negative. That is a very important factor here that tells you that it was a lot less widespread at the time than people hypothesized.
The real trick, the real reason for needing massive testing after we have got hump day in the rear-view mirror is that you need thorough and accurate detection, track and trace once you restart the economy. The potential for reemergence of exponential growth and explosion to 2M or 20M cases is still there. The solution is to track it down every time it happens and prevent it from going anywhere, much less sending it around the world on passenger jets like the CHICOMS did.