I wouldn't take it so much to heart, mama. This evening, my son (3.5) informed me that I wasn't his friend anymore three times in five minutes, because I insisted that he stop pressing the soap into pretend apple juice, that he rinse himself off, and that he get out of the bathtub. He went on to tell me that he loves me ("even when you're difficult" - a direct quote from his dad), and to decide that he can't be The Flash, because he still wants cuddles at bedtime.
It's the age they are: they have limited vocabulary for expressing their feelings, they know how to push our buttons, and when they're tired, they're just giant live wires.
I don't know Gordon Neufield's work, but I would not interpret a four year-old's verbal tantrum as having any meaning about her real emotions. I also wouldn't interpret it as a sign that you've failed as a parent. She has some steam to blow off, you happen to be handy, and she feels safe with you.
One of the things that kids are sometimes looking for when they say these things is reassurance - they know the situation is unpleasant, and they need us to demonstrate that we're sticking around no matter what, so they're as horrid as they know how to see what happens. If you keep calm and don't rise to the drama, they'll eventually get over it and come back to you. If you walk away from the situation, they're likely to chase you and cling.
Stay when you can stay calm, walk out when you can't, know that it is actually not about you.