FourShoes, thanks for your feedback, and I’m sorry to be so slow in answering your question.
I’m not clear on what you mean by Athens’s alliance with Darius. Are you referencing a specific statement in my lecture or in one of the sources like Herodotus?
Sparta’s concern over Athenian power is usually cited as a contributing factor to the beginning of the Peloponnesian War, but of course that’s a couple of generations after the Persian Wars.
Any clarification of your question would be helpful.