Re-opening EF windows in the right spaces under Lion

If I have multiple EF windows open in different desktop spaces, should they reopen in the same spaces if the computer restarts with the option in Lion to reopen them? The EF windows do re-open, but they all end up in the same space.

Thanks,

Daniel.

My experience is that (both for EagleFiler and Apple applications) the OS puts all the windows in the same space.

And this is something that is EF cannot control then but is purely on the OS level?

I believe so. The OS basically hides the existence of multiple spaces from applications.

That seems to be the case. Until Apple fixes that - I view it as either a bug or a serious lapse - it is a royal pain to move everything into different spaces every time a machine reboots - I will need to re-think my space organization strategy.