given a quick read of the OP, i unfortunately think i must fall into your SDT group. (i just got used to this meaning "save the date". jesus, people.)
however, i think this doesn't really give a real understanding of what real life daddies do and the analogies given which this understanding is based on both in the old and new testament.
the first verse is in the psalms somewhere where it also discusses god as "mommy". the verses describe the writer's relationship with his god as a weaned child on his mother's lap. in the new testament, this is referenced as those who desire meat and no longer require milk. a mature believer no longer relies completely on god for all sustenance. the weaned child is still very close to his mother and very intimate, but he is free and able and meant to glean his nourishment from elsewhere.
the second place this is really described is in the tale of the prodigal son. now, usually this story is referenced in the idea of rebellion and forgiveness, and this is part of it, but it's more than that, too. the son is given his chance to explore the world on his own. the particular path he chose was the wrong one. but regardless of what happened and what he did, he was welcomed back because he was family. god always loves his children. it's not like the father maligned his son while he was away and changed his mind when he came home, he loved him the whole time. like a father, the love of god does not change the way our fickle paths do.
but, as i said above, the mature believer moves away from the milk of the gospel and into deep theological meat. he doesn't need god to hold his hand, but instead become a new creature desiring right and capable of doing as god desires. what that is, is of course up for debate and not on-topic, as far as i'm concerned.
i'm not going to capitalize my posts, get better eyes.