Not all of them, no. There are going to be side effects or injuries for some people, that’s the unfortunate truth.
But some people are going to think that non-vaccine issues are due to the vaccine due to the proximity of the two events in time. Either issues they already had but hadn’t noticed before getting the vaccine, or total coincidences. Those need to be investigated too rule out possible issues. But even with an obvious explanation people may continue to blame the vaccine.
There are also the group of pseudoscience believers who will truly believe impossible things are the result of the vaccine and may work hard to make their “injury” known.
So I don’t like blindly taking the number of complaints, without even a cursory check for nonsense, and using it in a headline to make it sound like the vaccine’s danger is being covered up, without making it clear how small the percentage is.
Not everyone will file a complaint, true. So even if every complaint was true harm, more people would have been hurt. But billions of doses of the Covid vaccines have been given.
If 20,000 people were injured and “only” one billion doses were given that’s a 1:50,000 ratio. I don’t think the tone of the headline fits a ratio like that.