This true influenza that places people in the ICU or the morgue is what the vaccine is trying to prevent.
It is exactly the same virus that makes some people mildly ill and missing a couple days of work, and that kills other people. H1N1, for example, kills some (very very few people, but some) and makes other throw up a few times, and still others almost nothing. I'm not sure what you're really talking about with this language of "true" viruses versus... what? Impostor viruses? There are finite strains, they know what they are, all of them have some small chance of killing, and they simply don't have the time or resources or knowledge or sometimes ability to make a vaccine for all of them every season. Or if they do, not a fully effective one.
Bottom line, when it works, it saves lives. Countless lives.
What data do you have to support this claim? The CDC doesn't even know how many people die of the flu within an order of magnitude of precision (seriously, it's like "I dunno, maybe 500? Maybe 5,000?"). Much less do they know how many would have died without a vaccine, in EITHER direction, because we
barely know how effective the vaccines are at even just preventing flu, much less likelihood of saving lives. And we have equally little idea how likely vaccines are to kill you themselves.
So you have an equation you can't solve because it requires 2 parameters and we know neither of them.
Let's say, for example (purely hypotheticals, since again we don't know):
Vaccine is 1/500,000 likely to kill or debilitate you.
Taking a vaccine is 1/750,000 to save your life or prevent debilitation from the flu that you otherwise would have experienced if you didn't take it (see OP).
^
If so, then everybody in America taking vaccines would prevent 466 deaths/disabilities, but CAUSE 700 deaths/disabilities, for a net loss to the country.
Or, it could be the other way around, and cause a net gain.
We have no idea.