I think having a solid, loving, good, father is very important; but I tend to think that if a child/teen can't have such a father for some reason, then having no father around may be better than having a bad or "iffy" one around (complicating things and interfering with the mother or other close adults who may be able to make up, to some degree, for what the person without a good father misses out on).
I felt pretty much the same about both of my parents, so I always felt as if I was fortunate enough to have two wonderful parents. It didn't matter to me what the sex of either of them was. The bad side to having two wonderful parents we love so much is that there's the double-edged-sword factor of the horror of losing each of them. I know this may be over-simplifying things (from a sheltered and fortunate point-of-view), but there's some truth to the thing that we don't miss what we've never had.
I think - when it comes down to it - we all have to figure out what "makes a man" on our own. I think the part of the equation that determines what it is (about either a good father, a bad one, or a missing one) is us; and how much we admire, accept, approve of (etc.) about a father (or men in general) depends on a father's personality, as well as our own personality and preferences.
Then again, having two parents means we have two different personalities to watch and judge, as we (as children) judge and assess who and what it is we most admire (or least admire) in adults. I almost think the fatherless issue isn't so much lack of having a father figure in one's life as it is lack of having different input from a second, close, adult's personality and ways of thinking.
I think what, maybe, can make a different in how important it is to have that second parent may be how well adjusted/well balanced a child's only parent is. A balanced parent can at least to try to step out herself and consider different thinking. A less balanced/objective parent may have more trouble doing that (and if there's one thing that can knock even an otherwise balanced parent out of balance, it's often emotions.) Not every parent (mother OR father) has a solid grip on his/her own emotions.