I check everything with concierge when they call a few days ahead of time to talk about room requests. I also have them email me a copy of my itinerary and double check that my listing has all the right confirmations. I will also have to be confirming all the surprises for my DH are set up and planned for the right days. This is the first year that I have spa treatments, but I will probably call to confirm those myself.
If it wasn't concierge, I would call and verify everything. It may be possible that dining can send you a list of all the ADR confirmations via email, like concierge, but I don't know for certain.