Yeah, as if Faye Flam has much to bargain with..
Just to reiterate a couple points I made in that other thread of BS conjecture and fantasies that I commented at length on, we do not find mixed communities in the fossil record. Moreover, we have no idea what level of communication Neanderthals might muster, but it is absolutely safe to say that if they spoke any language it was not the language of contemporary Cro-Magnons. In other words, it's not altogether clear how Ms Flam would even communicate her desire to put out for some rhino steaks.
Furthermore, we have no way to know what the Neanderthal disposition might've been like. Ms. Flam seems to think it matters more whether she would have sex with Mr. Neanderthal than it matters whether he would have sex with her. Moreover, what makes Ms. Flam assume that Mr. Neanderthal would think her putting out was worth giving up a rhino steak for? Hell, I can see right now that I wouldn't give up a rhino steak for that.
Anyhow, I could go on and on and on. The problem here is that it's so easy to 'humanize' Neanderthals so that they're nothing more than slightly mishapen Cro-Magnons in the popular imagination, but the truth is that we know nothing at all about their personality or whatever passed for culture among them, much less about their sexual disposition. But the fact of the matter is that Cro-Magnons and Neanderthal by all evidence were separated by hundreds of thousands of years of divergent evolution, and that neither modern nor fossil DNA evidence has turned up any sign of interbreeding.