Ok, just to clarify, do people say "bleach" when the mean products containing sodium percarbonate (like Vanish, OxiClean)? Or do you mean actual bleach (as in sodium hypochlorite)?

Actual bleach. I typically use oxi-clean, very rarely use bleach. I've found that even the most severe staining/yellowing can be removed by soaking the clothes in the washer overnight with oxi-clean (something that's not really possible with front loader machines).

Well, I mostly use things like Vanish/OxiClean, but there are times when I hit proper bleach - but admittedly that one is rare enough (especially since switching to coloured bedsheets) that I do not keep bottle of sodium hypochlorite on hand.