To give a little historical perspective (as you are young at 23) dads have been ignoring their kids for some times in our society: before it was magazines or maybe books. Or TV at home. The cliché "don’t disturb your dad while he is reading his newspaper" is sadly anchored in a real asymmetry in terms of child care (fathers tend to care for kids on their own terms, mothers for all the rest)
Said otherwise: me time for dads is usually sanctuarized