No. I work in my country's national influenza lab, and we still do tests specifically for influenza. We can distinguish between subtypes of influenza with those, the idea of the test being so broad it can pick up other phyla is outrageous.
> people with the flu are without any question being counted as counted as covid-19 cases
I'm saying that is simply not possible - at least not in my country. We actually require a proper test for the presence of SARS-CoV 2 before they are diagnosed with covid.