Have you found a solution for the "problem" you described.
I've made exactly the same experience. I know it's kind of a luxury problem but if there's any way to get the new issue as soon as it is released that would be perfect.
I think the problem is that the link in the recipe (
http://www.sueddeutsche.de/app/epaper/textversion/) links to the "old issue" even if the "new issue" is already available (normaly at 8 to 9 pm). Till midnight the newest release is not linked with "www.sueddeutsche.de/app/epaper/textversion" but a different link (for example the release of 27th of April right now is linked with "http://www.sueddeutsche.de/app/epaper/textversion/index/1335477600/"). Exactly at midnight the link of 27th issue will be switched to "www.sueddeutsche.de/app/epaper/textversion".
I don't know if there is a solution for that specific problem. Well, it's ok to get the latest issue at midnight after all.
Axel