> Well one area where genetic algorithms are better than basic gradient descent is, naturally, nondifferentiable functions. But that is facile.
That's a poor assertion because even if detivative-free algorithms weren't already a thing, there are a myriad of smoothing techniques that enable nondifferentiable objective functions to be approximated by differentiable functions.
> I think the realistic strength is that there are some easy to use libraries that don't require the user to really know anything about optimisation or work too hard and can deal with very difficult optimization scenarios (and sometimes even deal with them well).
That's also not a reasonable assertion because there are also plenty software libraries for continuous and discrete optimization that are easy to use.
GAs in general are explored in academia because they are a fad that's easily publishable. Other than that this class of methods is in general very computationally expensive and very inefficient, and don't provide any advantage over plain old adaptive sampling, or even dumb regular lattice sampling.