That is correct. I'm upset I missed him too, but oh well. You simply save up for the next medal you want that hopefully isn't premium. Which really, Sephiroth & the BBS trio are the only ones that are Limited with no non-rare version
No. That's not how it is in Japan and I would not expect them to change that. They're called "Limited/Premium" Medals in Japan for a reason. Only available for 1 week then NEVER again. Though in Japan, they at least give it to you on the 10th draw if you haven't gotten it yet out of pity because of how rare it is.
Next time will be the same thing, just with either Roxas eating ice cream or Cloud Illustrated version.