Well, the link says 39-56 M illnesses, which means symptomatic infections (although some of them may be not diagnosed by doctor), while the 0.37% for covid-19 is just number of seroconversions (including asymptomatic infections, which are not considered illness), so not a comparable number.
With 39M-56M estimated cases, 24k-62k deaths and 330M population, you have 0.06%-0.11% fatality rate and 0.007%-0.018% mortality rate.
Less than 40% of cases result in any visit to a medical professional (# medical visits is about 0.4-0.5 of # cases, but some people will need >1 medical visit)
Influenza is 0.1% from estimated total cases.
Here's the CDC's preliminary in-season influenza report for this year, showing 39,000,000 - 56,000,000 estimated cases, 18,000,000 - 26,000,000 medical visits, and ultimately 24,000-62-000 deaths (0.061% - 0.1107%)
https://www.cdc.gov/flu/about/burden/preliminary-in-season-e...
These preliminary estimates are roughly in line with recent years.