If they do that is ;)
I've been playing the game for 10+ years and have been thinking about this for a while now.
It came to the forefront with the last announcement that there will be no new content after RoV and that RoV will be the final hurrah for FFXI.
So; where will you want to leave your character when/if they turn the servers off?
I plan to take a final grand tour of the game and visit some of my favorite places; try to catch a rainbow of La Theine, go for a shower in blue blade falls, take a manaclipper from bibiki, take the ferry from selbina to mhaura at night (and hope for pirate attack,)take some photos of the hall of the gods...
But I plan on leaving Irma up in the hot springs at Horlais Peak. Don my very first summer swimsuit and just sit in the pool as the server shut down warnings count down.
I remember doing my key hunt up there with my long dead LS and after we finally got all the keys we needed for people we ended up at the hot pool and for no reason other then we were happy to be there we all put on swimming gear (it was just after summer event) and just chatted and RP'ed for a coup[le of hours.
This has always been a fond memory for me :)