So, how do you explain the 'hybrid' skeleton that was found? (No DNA)
One freak skeleton could best be explained as a birth defect. This is the standard problem with evolutionism; the theory absolutely demands that there should be many thousands of such skeletons, and so they search for a hundred years and finally manage to come up with one deformed neanderthal skeleton and proclaim victory. Likewise, according to evolutionary doctrine, the vast bulk of all fossils should be intermediate forms and, after combintg the Earth for 140 years, they come up with a little collection of 100 or so freaks, all of which could be explained without resort to evolutionism, and proclaim themselves winners.
What'w wrong with the picture? Discover Magazine ran a big article on the problem, and this was back around September of 96 I believe, which noted that neanderthals and modern humans had lived in close proximity for long periods of time particularly in the levant, and yet there was no evidence of crossbreeding whatsoever which was totally contrary to what you would expect. The question they asked was how was it possible that the two groups lived close together like that without sex ever apparently happening even once, noting that sex is generally a more powerful stimulus than any form of racism or tribalism.
Basically, that is the reality of the situation, and not the one freak skeleton.
There are several factors that could explain this. First of all, the Neanderthal population were of a different body type than we are. They may not have appealed to our ancestors, and vice versa.
Science Fiction used to have a lot stories in the 50's of rapes of women by lizard men, etc. Why would this occur? Would a lizard man find a homo sapien woman any more appealing than you would find a lizard woman? Something to think about.
Also, the Neanderthal population may not have been as thick on the ground as our ancestors were. Their language, brainpower and hunting skills may not have been as developed as our ancestors. The gestation rate for Neanderthals was also different from that of our ancestors.
All of these factors combined might have something to do with their demise.
Finally, genetic differences could play into this. Even if you're attracted to a horse, no offspring will be produced. You don't see hybrid horse and zebra offspring out and about, do you? The DNA match isn't there. The article you refer assumes that reproduction is possible. It may not have been no matter how many times copulation occured, simply because the DNA sequences were off just enough to say "no."