Frankly it is questionable if so called "Climate" Scientists are even real scientists at all. You may as well call Economists, Hygiene Technicians and Political "Scientists" scientists.
Science is just knowledge, and the methods for acquiring it. So economists and political scientists are scientists.
But it's important to recognize there isn't some monolithic "science" whose techniques apply everywhere. When people think of "science", they tend to think of the hard sciences, specifically physics. Which is based on experiments that involves isolating a single variable, making a prediction beforehand, and then testing it. That's the gold standard, and delivers a high degree of surety about the results.
The problem is that doesn't work in a most fields. You can't test humans like particles, because of ethics. Not to mention, humans are hideously complex, making it impossible to isolate just one factor and control for everything else. Anything that involves human behavior, incidence in human populations, or fitting patterns to historical data is subject to all kinds of biases, imprecision, and other problems that don't exist in physics. The degree of surety is lower. Sometimes much, much lower.
This includes all of economics, political science, and all the other social sciences. Many aspects of medicine fall in this category as well -- what we know about pandemics are based on historical population studies, after all. Even astronomy qualifies -- while it's a lot harder than any of the other fields I mentioned, it's still based on observational data rather than direct experiments (we don't have a lot of black holes in labs). And, yes, the study of climate. The models are based on fitting patterns to past data, and try to control for all significant variables in an inordinately complex and chaotic system.