Yes, it feels like cherry picking when people say something like "climate change makes severe weather events more likely" in connection with a drought or unusually hot spell but ridicule anyone who tries to use a particularly cold winter as evidence that climate change is not happening.

We should avoid the association between climate and short term weather phenomenon altogether.

And yes, the COVID lockdowns showed the limits of individual action on climate change. Even if people can't leave their house (except for some limited purposes) the reduction in carbon emissions are relatively small. It's a problem for government and industry to solve in the main. The only difficulty is how to ensure that we elect governments who take it seriously without scaring some people?