Indeed,

If you read my parent post in context, I hope it's clear that I mean currently in Italy, people are not dying at a rate higher than the seasonal flu BUT this has a big potential change if the infection rate were to shoot up (we know this is prevented by extreme quarantine measures, enforced by the army).

Your point still isn't clear or accurate. The worldwide CFR is over 4%. In Italy, it's currently at over 11%. The flu is nowhere near that level of risk. It's normally around 0.1% depending on demographic. Are you saying that the seasonal flu in Italy normally kills 11% of those who become infected? If that's the case, the facts don't bear that out.

But the CFR is mostly just a function of how many people get tested, no? And Italy seems to only be testing at hospitalization.

And how does Italy test the flu? In the US, there's minimal flu testing and most of the metrics are based around surveys.

I'm not disagreeing with you. However, at this point, some of the flu estimates are actually inferred/modeled by the CDC.

The flu is a well-enough study disease that they're able to, relatively accurately, model population statistics based on a sub-set of tested patients.