Please, no! I don't want apps to save its state; leave that to Android. I want apps to run until I close them. When we start discussion about saving the state of apps we do not intend to close, then we can forget about having any real multitasking, because "why do you want to run the app when it will be restored to the state where you left once you open it again" will become the first argument against complains about the lack of multitasking.

EDIT: That of course doesn't apply to saving message/e-mail drafts on app's exit.
And don't give me wrong, saving the state of apps can be a nice thing, but I think that the OOM's behavior must be fixed first. If an app opens on the same page where I (not OOM) closed it, I'll be quite happy.