Any stochastic process will have variability for a given set of inputs. I think there are more fields within the umbrella of Science where purely functional programming isn't an achievable ideal--let alone a desirable one--than there are where this is a good fit.

You can make the argument that all programming should be functional on its own if you want, and I'm open to that. But this it's pretty sketchy to me to just shoehorn all scientific work into a category of work that should definitionally be functional.

There are huge numbers of scientists who do not agree with that at all.

If you're modelling stochastic processes it's important to be able to set the random seed you can reproduce your simulations. So for a given set of inputs you should get the same output, given that one of the inputs is your seed.