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It's not as simple as that. Most models give predictions that are conditional on input data to the models (real rate of CO2 production, etc.). To analyze the predictions from, say, a model developed in 1990, you need to feed the model input data from after 1990. Otherwise you get too wide an error margin in your prediction.
True. As I said, this is definitely evidence towards the suitability of the models, and certainly seems to be counter to the claim that "there is no evidence that climate models are valuable in predicting future climate trends.
That's definitely a possibility, but it's reasonable to think that the mathematics and science involved in the climate models stands on a firmer basis than economical analysis, and definitely a firmer basis than Samuelson's analysis.