Absolutely wrong. This is sexism at the most blatant. Many women are unwilling to sacrifice themselves for anything. Many women do not want or need men to rush in and solve their problems with a little romance. I'm not even sure where this thinking came from, but I certainly feel it is an entirely inaccurate assessment of the function of male and female in life and relationships.
Anything that asks me to agree with a statement beginning with the word all makes me very leery of agreeing. There are very few things all women have in common, and all women certainly do not sacrifice themselves in difficult situations. We know that's true because there are plenty of women who abandon their husbands and kids, which is certainly not sacrificial behavior. Men turning things around with "just one kiss" is equally untrue, and there are plenty of men and women both who could prove that. This is, as clairewaite points out, a romanticized, fairy tale version of the world. It may be true of some, but it most certainly is not true of all.
I would say this is perhaps a fairy tale view of the world. But fairy tales distort most of reality. Consider the fact that they ALL end with "And they lived happily ever after..." as if all it takes is to fall in love or be swept off one's feet for everything to end up happy and perfect. Hah!
Even if I take the qualifier "all" to mean "most" or "majority", I find it difficult to agree with the statement in the Post #1. There are distinct physical differences between men and women. In addition, there are tendency for some differences in their psychological characteristics also. However there are no difference in matter of willingness to make sacrifices when situation demands it. Also, in terms of winning honours, the society makes no distinction between men and women.
Perhaps in the past, women did face some limitation in terms of participating in public life outside the domestic environment. This definitely put them at some disadvantage, and they had to make more compromises than men. But forced compromises should not be mixed up with willing sacrifices. Besides the situation is changed now.