I'd argue that Monte Carlo is a bad example here, and is an example of a deterministic tool.

You use a tool to create an outcome, you're looking for an answer or a solution that you can trust.

If you want to examine behavior of a system that has input variables across some known range, you could brute force it, try every single possible combination and wait a millennia. Or you use a monte carlo strategy, let randomness enter the simulation to build out a basic characterization. You want more detail? More confidence? Increase the number of runs. I can trust that if I increase the number of runs I gain higher fidelity, if the tool/strategy was non deterministic I couldn't do that