"but I myself would care more about the character of my daughter's husband "
Parent commenter is interested in someone who thinks the way he does. There is nothing wrong with that and there are probably more parents from my experience who wants someone who hold their views then are willing to accept someone with different views.
*Just to clarify, to avoid making this seem like a strawman: I'm creating a deliberately extreme example that to me seems like the logical extension of optimizing for "success" (or minimizing headwinds) at the expense of character (personified in your example by someone who's principled as opposed to a follow-the-herd type person). The purpose of this is to highlight the fact that this is someone you're accepting into your family, and the importance of that becomes particularly clear when you consider that the man he is will in large part shape the men and women you're grandchildren are.