That's true too. They are not recommended for pregnant women, for instance. It would be great if pharma companies could tell us if the vaccine has an impact on women that get pregnant soon after getting vaccinated.Some people can't take vaccines.
Actually pharma companies and vaccine producers have provided very few public information about side effects.
There is just this massive propaganda about getting vaccinated no matter what. In some countries, where traditionally citizens could not trust anything aired on the media or stated by their governments, people do not want to vaccinate, for obvious reasons. In Russia there's many people trying to avoid the vaccine. Only 2 in 10 people in Hong Kong got vaccinated.
There are also many countries who do not have vaccines to distribute, so it would be wise if governments had a different strategy to contain the pandemic.
Trying to put the economy first has been a great mistake. If world "leaders" had actually agreed on a total lockdown for let's say 3 months we would not be still surrounded by COVID-19 cases a year and a half after the onset of COVID-19.
Some countries have tried to get an edge and an advantage over others, opening up earlier, or loosening travel restrictions, or allowing restaurants to open, etc etc... there was no common approach to a global problem. Every country acted on its own self(ish) interest.