Semantics. That's like saying that getting your armed chopped off and bleeding out is dying of lack of oxygen to your brain. You died because your arm got chopped off and from all the subsequent symptoms it caused.

In this case, since they're dying at exactly the same rate as the unvaccinated, it provides zero evidence that they're dying from the vaccine. And I'm extremely anti-vaccine, so I'm not trying to argue for the vaccine. Just trying to argue for truth.