Realize in conflict, the parent will always win (at least short-term) against the child. That is why ... Fi cannot be regarded as a child. It rails against such control. Nor is it helpful to me to think of the function as a child; the metaphor contradicts a maturity that Fi can offer. I can accept that good parenting of emotions is a useful too. But I cannot relegate feelings to the inferior status; thinking isn't wiser or more mature by definition.
So, different tools for different jobs. Isn't it a bit presumptuous that as an Fi tert, you will claim to offer the right tools for an Fi dom? I am handy with the Te (there was a very good reason why I was debating team captain) but I don't think I use my Te as gracefully or sharply as a Te dom. Te doms are like a bowsaw and I am a hacksaw doing the same job. True I can get the job done credibly enough. But I don't assume any superiority simply because I can.
LOL, I am heavy on metaphors and symbolism here. Hope you either enjoy them or at least can tolerate the mental imagery.
However, I enjoy your energy and desire to communicate and I think you will offer a lot of helpful suggestions to the readers. I'll insert myself from time to time.