"CDC encourages laboratories to consider adoption of a multiplexed method that can facilitate detection and differentiation of SARS-CoV-2 and influenza viruses. Such assays can facilitate continued testing for both influenza and SARS-CoV-2 and can save both time and resources as we head into influenza season."
It should go without saying, but it sounds like they're admitting the current PCR tests cannot differentiate between flu and COVID.
And it doesn't mention one fucking thing that the OP says it did.
It does in a roundabout way:
"CDC encourages laboratories to consider adoption of a multiplexed method that can facilitate detection and differentiation of SARS-CoV-2 and influenza viruses. Such assays can facilitate continued testing for both influenza and SARS-CoV-2 and can save both time and resources as we head into influenza season."
It should go without saying, but it sounds like they're admitting the current PCR tests cannot differentiate between flu and COVID.