Intuitively it should be so but, always using Greek mythology as a reference, Gods don't seem to change, learn, and least of all improve over time. Their strengths and many many many weaknesses seem to be as immutable as the gods themselves. Perhaps learning and improving is something only mortals can do.
I'll take the gods' corner on this one; although it's a fairly late source relative to classical antiquity, Sallust's
On the Gods and the World does an excellent job at differentiating between the encosmic gods (operating within the cosmos, subject to passions) and the hypercosmic gods (transcendent, eternally perfect and eternally unchanging). He also distinguishes between mythology which communicates an eternal truth and myths which are told just so people can tell them:
And this indeed is the first utility arising from fables, that they excite us to inquiry, and do not suffer our cogitative power to remain in indolent rest [..] for they are used by poets agitated by divinity, by the best of philosophers, and by such as disclose initiatory rites.
In the premodern worldview, the gods appear in different guises to us as humans but are all ultimately the One. (I note with frustration the hippie type who says "yeah it's all just the one, maaan"--if even the gods are differentiated facets of this perfect, transcendent Being, then certainly we up-jumped apes have a long way to go before we can even begin to perceive this reality.) And Plotinus has this great line, something like, "And so God suffers us to call him by the name 'Zeus', but He is not Zeus."
