Maybe not in all long-term therapy relationships, but re-parenting seems to be predominant in most of the psychodynamic psychotherapy books I've read.

My philosophy of re-parenting pertains to object relations and sense of self/psychological boundaries. The therapist substitutes for the original object (usually mother) to facilitate integration of object relations which is what leads to intrapsychic structural change which is what leads to overall change.

It's sort of like military boot camp where you're stripped down as an individual and built back up as a team member, but in psychoanalytic therapy, your defenses and distortions are dismantled, and you develop a new sense of self and new way of being in relationships. The frame of the therapy is set up like an attachment relationship--your therapist doesn't need anything from you like a parent, which makes all your child feelings/needs come out. The way I see it, the whole thing is re-parenting. That's how your personality originally developed and it's in a sense being redeveloped via the therapy relationship. Only it's done right this time!