In the link you shared you can click on a restaurant, enter dates and see what’s available (this is the dinning page). In the past, when I’ve looked for an ADR they will show options for packages for shows etc.
I wish you could modify these reservations as there are slim pickings for a party of 2, but quite a bit more for a party of 4. Most restaurants you can book 4 and then modify down to 2 if 2 isn’t available while searching, but these only give you the option to cancel.
I had a trial run just now and the app is great for CP reservations. It gives you the available dining times as well as which show you’ll get. I just searched for “candlelight processional” in MDE and then clicked on make reservations.