All I would want would be for the kid to be communicative. Even though I'm far from the stage where I would even consider motherhood, one of my hypothetical mothering nightmare scenarios is this: The kid hates me for life because, whenever they disagree with me or whenever they object to anything I do, they sit and wallow in resentment instead of being open and honest with me. I would never want my kid(s) to think of me as a dictator - I would want them to feel comfortable stating their full and uncensored opinions to me, so we would have a chance to talk it through, and explain our sides of the story. But if the kid feels like they can't do that, regardless of what I tell them... *shudder*
I suppose the kids who would be most likely to do that would be Fs, but I don't think it's really type-related.