It's totally dependent on the quality of your own training IME. If your training taught you to understand the standards well, to understand the maneuvers well, to structure well and deal with varying performance, it's not such a great big leap. It can be and I definitely hear you there, but IME, it doesn't have to be. There's a lot of "telling" in CFI training and often not a whole lot of "teaching". There's a lot of "if we do this enough times you'll eventually figure it out" vs. "this is how and why this works". You can get to that higher place during your training and start out teaching it as a CFI just fine, but you can also never reach that higher understanding until much later in life. All depends on the quality of training.

I remember when I was learning how to land at one point I was not landing straight and my IP tried to make a point about how drivers are able to tell straight-ahead and drive their cars in the middle of the lanes (like the millennium falcon or something). Then I started paying close attention to people driving cars and realized my IP was wrong. People in cars do not drive their cars centered in the lanes, they tend to all drive with their body in the center of the lanes, which offsets the car to the right.