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Algorithmic analysis is absolutely scientific. Asymptotic analysis is based on models of computer behaviour that are testable (and people do test them and do improve on them). Moreover, the asymptotic models make predictions and those predictions are testable (and people do test them and do improve on them).

The asymptotic analysis of algorithms would not be useful if it didn't make accurate predictions about real world phenomenon. I've written peer reviewed computer science papers where I have devised an algorithm, predicted its asymptotic behaviour and then validated through empirical testing.

What you're describing sounds completely different. If the major idea is that human economies cannot be scientifically analysed, then surely all analysis is a waste of time? An analysis that isn't based on the scientific method isn't more likely to be correct.