I believe they will stick around until their vacation runs out. It is possible the member will even open up the account again and start playing at some point.
Member Account Closed

when I get this message Member Account Closed does that mean the member has completely closed his/her account volunteerily and permanently??
When you see that, it means the account is closed and that can be for any number of reasons, both voluntary and involuntary. If the member closed their own account they can reopen it in the future.
Just curious....how long does it take for games to disappear from your online account when your opponent's account has been closed? (online shows member is on vacation, but in reality his account has been closed).....