From my perspective working in a hospital, influenza infections basically went away once all the social distancing/mask/etc. went into place while COVID infections continued showing up at a regular pace. We are testing for both in almost every patient that presents to the ER with symptoms.
What I get from that is influenza is less virulent and less contagious than COVID.
Is your hospital recording the percentage of those tested that have already had a flu shot (or two) this season?
If so, how much do you think that might be affecting your facility's flu rates vs The Corona rates?