You hit the nail on the head.
Being there is the most important thing for any father to do. Being one who was not, I can see how my relationship with my daughter and some of her development suffered.
It is easy to make other things priorities but, in the end, none of them are worth it. There is no way to make up for the time lost, the inattention because one is distracted by a ball game or the moments not shared because one is "too tired".
Time goes very fast. A infant is suddenly starting school...then dating...then graduating high school. Next thing you know it is off to college or the military or wherever their path takes them.
The only suggestion I have is to cherish the moments and be present...not only physically but truly be present each moment with your child.