Remember Square Enix ID tickbox doesn't work after Patch 2.25

When I start the game using ffxivboot.exe (and I don't have any other way to start, just being clear) I get a nice launcher window with a tick box labeled "Remember Square Enix ID". If I leave it empty, the launcher will require me to enter my user name when I start the launcher again, which is what you'd expect. However, if I tick the box, I still have to enter my user name the next time I fire up the launcher.

I don't think this has ever worked for me, and certainly not since 2.1. It looks like this issue has been reported at least once but it's in the Not A Bug forum, so I suspect it isn't being addressed. My previous report of this bug got moved to the Resolved forum, so I was hoping patch 2.25 would address it since it appeared to update the launcher, but it has not.

Using the Run as Administrator on ffxivboot.exe doesn't help this problem. I'm running Win 7, if that makes any difference.