People I know who are antivax and anti lockdowns etc simply say that COVID isn't anywhere near as deadly as the media would have you believe.
They also believe that lockdowns are harmful in themselves and so are vaccines.
FWIW I agree - I think it has been massively overhyped and spiral of fear created in the media. And lockdown does have downsides, some of them enormous. Pretending it is totally harmless doesn't help anybody.
However I do think of my friends who have these views the balance is a bit wrong. They are also inclined to believe that the reporting is faulty and reactions to vaccines are covered up or hidden. I don't think this is the case - there is no such thing as a vaccine without risk but I also don't feel like the risks are being denied. Whereas they do.
Some of them also seem to think that the whole thing is totally made up / a conspiracy or an excuse latched onto in order to control the masses. I don't think we need to be as scared of COVID as the media suggests. I do think we should be much more aware of the downsides of lockdowns. I am not sure the vaccine needs to be rolled out as fast and furiously as it has been, and I think the fact it has been is fuelled by this narrative that COVID is one of the worst things to happen ever, when realistically it is just another transmissible virus - there are plenty of those.
But broadly, if you look at governments all over the world, they are all doing similar things and I don't think they are all wrong or it's all a conspiracy. That doesn't make sense. Even in Sweden there were recommendations to socially distance and reduce contact, it just wasn't put into law. I also think it's hard for laypeople to understand the risks from disease. Measles for example is well worth vaccinating against and I think COVID is not dissimilar in the risk profile. But there was a time that most people got measles in childhood, and the vast majority of people were OK. The health services were not overwhelmed. There were no lockdowns. Even if you caught measles tomorrow, the chances are you'd recover and be absolutely fine. However there is a chance you'd suffer severe effects or long-lasting damage. (My antivax friends also think that Measles is totally harmless, BTW.)
Sometimes it comes from comparing different types of risk as well, which is really complicated to do because each course of action has so many different risk factors, some small, some serious, and some likely, some unlikely. They have come to a different conclusion, possibly based on different information sources.
In general risk is hard to understand. We are conditioned to see percentages as a kind of scale from 1-100, so a 1-5% risk sounds low, even though that means it will happen to between 1 in 20 to 1 in 100 people, which is a huge amount of of people, particularly when we're looking at large numbers like population. It is more helpful to look at risk in terms of ratios I find, when they are presented as percentages, this can be misleading, yet this is how they are usually presented in the media.