In my opinion, this question is a question of philosophy of science, not Biology but here are my thoughts anyway.
Science by definition is a methodology that requires the creation of a hypothesis under a specific model and testing the prediction of this particular hypothesis.
Such modelling can be done either analytically (math) or numerically (with a computer). Typically, numerical modelling is being used when there the mathematical tools fail to offer a solution for the system analyzed. To me rejecting, numerical modelling is like rejecting modelling and is therefore like rejecting the scientific method altogether.
Computational modelling has brought a lot in pretty much any field of biology (and pretty much any field of science), so much so that it is hard to know where to start to fully address this claim. There are many models that were only verbal as mathematical tools were not sufficient to bring more quantitative predictions. For many of these models, computer modelling could offer quantitative predictions that could then be further tested.