Exactly. These "Models" are used for nothing but propaganda. Can they start one 100 years ago and predict the present accurately? I predict not.
That would be a good test. Probably they could go back only 20 or 30 years when they have better data to start from and find out how well it works. They still probably won't get tomorrow's weather right anyway.
That will never happen because chaos effects can never be modeled adequately any practical possible computer. But the issue is not whether they predict the weather but whether they model it accurately. For example, do the climate models contain tropical waves and storms? Most current models do not, which makes them poor predictors of climate, never mind weather.