This issue has been discussed previously, and it has been noted that women tend to flutz, and men tend to lip alot in competition. The reason, as I recall, is that men are naturally stronger than women, so they have th muscular strength to stay on the outer edge, and as long as you have the ability to stay on an outer edge, then it is actually a more secure edge to take off from than the inner edge, so men will lip their flip. Women, on the other hand, tend not to have the muscular capacity to easily stay on the outer edge, or at least they don't have the muscular strength to stay on the outer edge all the way through to the moment of take off, so they tend to flutz.
It can sometimes be that a woman will lip/lutz due to the shape of her legs. In other words, if a woman is very bow-legged, then she can lutz without even having the muscular strength per se but because nowadays, under CoP, you can do a lutz with a very short preparation, which, in fact, is not a 'true' lutz. Carolina does a true lutz in that she has a long prep. I sometimes wonder if she maintains the outer edge the whole way through, though.