I think we are talking about what in Aikido we call Iriminage. We practise it from where our wrist is held or without contact. We don't normally train it where we hold the wrist. But, regardless of who is holding, the first point of resistance is when you 'throw the frisbee'. For me than is a soft extension. If you try to use strength it will normally fail against a non-compliant partner.
We do train Iriminage with the hand on the neck but that is not my preferred option. For most people 'guiding' means pulling or pushing which is a physical act and triggers the second point of resistance. If you try to pull or push on the neck again, you will be stopped. For it to work against a resisting partner you need to extend out and go around the strength as you bring his head toward your shoulder.
The final part with the arm across the head or chest is the third and fourth points at which the technique fails against resistance, firstly as you bring your arm in and secondly the actual takedown. If you push with your arm or use any force, it will fail. This part of the technique is achieved by moving your centre causing you partner to fall without any strength being applied. If you want to be nasty, this is where you hit them with kokyu or the breath throw. Actually, the arm doesn't even need to be near his face or chest for the technique to work.
So, how does this apply to using Ki? Your description is physical. All along the way your partner is being physically challenged. If you are bigger and stronger, you will probably prevail. What I have described is what I would call using Ki. In a similar vein this technique is basic in Karate and Krav as well, although I teach it a little differently in Krav. However, I still teach the technique without using strength. It takes a while to learn and it does take a good teacher but once you have an understanding of this technique you can apply the same principle to a wide range of other techniques.
To be fair, on the street against an untrained person this technique would probably work using physical strength. When you train it in class with a partner who knows what you are doing, you will be stopped if your technique is not spot on.