> don't involve any math [and so is] ... unfalsifiable
A theory involving math is only better than the alternative if it is also correct. Theories can be falsifiable if they don't have math either.
For example, I might have a theory that water always flows downhill. Then I am confronted with a pump, and my theory is now falsified. Fitting a mathematical model involving gravitational constants and laminar flows will be a better theory because it fits the observations very well.
A theory that I have porridge for breakfast in a way that can be modeled with an iid normal distribution is a terrible theory, because if I find out about it I'll start playing with my breakfast just to spite the modeler. The inclusion of a precise mathematical model just paints a bigger target for me to hit. Economics is much more in that vein of things - the people being modeled can respond to the models themselves.
The mainstream economics theories are all going to be based on non-mathematical assumptions that link reality to a math-y model. Those assumptions are the weak point of economics. We can trust the academics to get the math right once they've finished making assumptions.