But it turns out that they don't have to be. We know that radically different low-level implementations can approximate the same higher-level functions given a large enough network and enough training (eg. half-precision floating point, integer, or even binary ANNs, not to mention the wide variety of activation functions such as relu, sigmoid, tanh, maxout, softmax, etc.), and we've seen increasingly varied ANN architectures applied to the same tasks with good results, so I would expect this to continue to hold true for ever more sophisticated tasks.

I am certain, BTW, that further study of biological neurons will continue to yield insights for the design of ANNs, but it does not at all follow that ANN design will become more similar to biological NNs as a result. Given the completely different substrates, simulating a biologically plausible NN in order to perform a task (for purposes other than gaining further understanding of biological NNs, that is) would be incredibly wasteful and unnecessary, even if your goal is to create an AGI of some sort.