Ok, apparently it doesn't store it, enigmail/ehunderbird/gnupg ask me for it again; however, the icon still gets put in the Notification Area and stays. It will stay forever if I don't get asked for my passphrase again. If I do get asked again, it will go away until after I enter my passphrase the subsequent time(s) - at which point it comes back again.
Ok, apparently it doesn't store it, enigmail/ ehunderbird/ gnupg ask me for it again; however, the icon still gets put in the Notification Area and stays. It will stay forever if I don't get asked for my passphrase again. If I do get asked again, it will go away until after I enter my passphrase the subsequent time(s) - at which point it comes back again.