I've never done the ice water thing. I just steam them and then run cold tap water over them for a bit to cool them down and put them in the fridge. It works for me. I've seen the ice thing mentioned a lot, but never really had an issue without it, so never tried. I will say that boiling day old eggs (as opposed to steaming) is a waste of time and eggs. You destroy them trying to get the shell off. I used to give away my fresher eggs and save the older ones for myself so that I could boil them.