Larry2:
the lousy husband you are shedding is her father.
What really marks this particular Prudence is her failure to listen. The mother said that he was "absent," not lousy. And if he's absent, he's not really much of a father figure, as Prudie implies, is he?
Can't help but think that this Prudie is purposefully awful just to generate more clicks, which is what all these Slate writers want, of course.
There are many ways of being absent. One is to pick up and leave for parts unknown, as many have assumed is the case.
Another way is going to work early, staying late, hitting the gym or the golf course on weekends, as others have assumed.
Another way is to be present, but to be tuned out, as my father was. I honestly asked myself as a child what fathers were for, since all I knew about fathers is they came home from work, ate, took over the TV, and slept on the couch until time to go to bed. No interaction, and least little that was positive.
A final way (I'm sure there are more) for a husband to be absent is to be so involved with the kids that the relationship with the spouse suffers. This can be positive or negative involvement, e.g. coaching the kids' little league team as opposed to molesting the children. It may be that this father was more wrapped up in his daughter than in his wife. He may have told her how pretty she was, while neglecting telling his wife. I really suspect that this sort of absence is more the case for this LW.