Funny, that's exactly how I used to do it. And I still do if I want cool eggs sooner.

Our eggs may be different (US here, working from refrigerated washed eggs) or I am less lucky. I had mostly success, but sometimes had troublesome eggs and would have a few mangy looking ones where the white sticks to the inside of the shell and water doesn't change it. Chunks of white pull away. After switching to the Kenji method I have more success than before. Still once in a while I get a stuck shell, but less often.