One thing I did notice that happened more and more as I wrote kanji a looooooot, was that they naturally started to balance out, and I was writing things more like a native would. For example, in handwriting (but not anything else), square shapes tend to be thick at the top, and narrow toward the bottom, while lines tend to be shorter at the top, and get progressively longer toward the bottom.
Noticing little things like this is not going to help you learn the language any faster, but it will give you way more confidence in writing.