Earlier quoted context omitted.
Actually, evolutionary strategies make use of either empirical or naturalised gradients on the search space.
I guess sexual reproduction is kind of like sharing gradients. Is that what you mean?
In contrast, evolution strategies have a search distribution, and compute a gradient update to that distribution from an entire generation. So it's really more 'search gradients' than evolution. The only thing 'evolutionary' about it is that the minibatches are called generations.