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For the Nash calculator - is it hurting us, helping us, or doesn't matter when our opponents aren't in equilibrium with us?

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For heads up your opponents strategy doesn't matter since any deviation they make from equilibrium will only increase your EV. With more than 2 players the game is no longer zero sum between any two players since chipEV isn't $EV. This means that if you were to stick to the nash equilibrium strategy your opponents can now hurt your EV by giving up EV themselves by calling too wide, pushing too tight, etc. So it certainly does matter that your opponents aren't in equilibrium with you. This is why in reality we try to play in such a way as to maximally exploit our opponents mistakes by adjusting to whatever ranges we put them on.

That said, I think the Nash calculator is a great tool that has a lot of application. The ranges suggested give you a good starting point for many ICM problems and the solutions themselves can be used in situations against good regs. I find EQDiff very interesting as well since it gives you some idea how your expected equity changes due to position, stack size, etc.