If seeing Remy is important, I might suggest moving your reservation to 12:10 or so. Remember that you will often not be seated right at your reservation time, and if you're seated at 12:40 or so at a table that Remy has already passed, you'll miss him.
As far as I can tell, he only makes one pass through the restaurant at each time - it isn't like the character meals, where you're guaranteed a visit from the characters.
If you stick with 12:30, be sure to mention Remy when you check in, and ask to be seated at a table that Remy hasn't already visited. This could still be dicey, because the reception staff is probably not tracking his progress through the restaurant.