I think the opposite about climate claims being 'real.' The majority of climate claims I see are merely conjecture that often turns out to be exaggerations. We definitely see real effects, but nothing near the catastrophes most activists predict or attribute.
Listening to this debate [0] really opened my eyes. Take for example the claim that "Climate change will cause worse storms and infrastructure damage." Most of the increasing damage from storms is from humans building in environments like flood plains, a minor part of that effect is from climate.
Or take the claim that "Climate change will cause food shortages." Some models predict warming poles will increase available farmland! [1]
I'm not saying that the current situation is good, but I think the downsides are overblown and the accuracy of the models used for these predictions are overstated. The amount of resources redirected to climate change are huge, so I reject the idea that we are doing very little.
[0] https://www.youtube.com/watch?v=5Gk9gIpGvSE [1] https://journals.plos.org/plosone/article?id=10.1371/journal...