You are not wrong. Data can be faked in the real world, but there is a line between healthy skepticism and tinfoil paranoia.
It is not the media that is saying that vaccines are better than not taking vaccines, it is 99% of the scientists, the 1% are people like the original author that want to mine attention at any cost.
The media wants money, and there is right wing anti-science media, both here in Brazil and in the US (in Brazil because our president is a puppet to the US) that for money do nonsense math like this and try to cast doubt on the vaccines.
A little dose of skepticism is good, but claiming vaccines can kill 10x more is just stupid.
The original post claims that and other absurds like that vaccines are 4000x more likely to put you under emergency care, or can reduce your risks of death from a heart issue by 50x (but he does not talk about that), the author manage to get those numbers by mixing data that do not have a common ground for classification.