Are you aware of the phrase "sacred values" in decision theory? Paying money a person money can make them less likely to accept an offer?

But that isn't even everything because a mating dance is more complex than simply providing enjoyment or time or any such metric.

I believe I'm simply using a more general definition of price and you're using a stricter definition so the argument is mostly semantics.

I think that's unlikely true given the unattributed Churchill quote that you used.

That the model is incomplete is true. But there's no such thing as a complete model; that's the nature of a model.

The problem isn't that it's incomplete but that it's bad because it leads to various mistakes for a person who wants to make good dating decisions. Don't be a hedgehog.