Unless I'm reading this wrong, this is incorrect. The nih paper says that influenza deaths represent ~2% of all respiratory deaths, not a death rate.

The CDC estimates the death rate of influenza is at most 0.65% (61k deaths and 9.3MM infected) and at least 0.026% (12k deaths and 45MM infections)

https://www.cdc.gov/flu/about/burden/index.html