I see a big difference. I expect Chef Mickey's to take about an hour and cost me about $100 for two adults and two kids. I don't really expect the food to be anything more than marginally edible, but that isn't why we go to character meals (and I do like character meals - just not for the food).
I expect California Grill to serve me a delicious meal that I want to be able to focus on and enjoy (and haven't been disappointed), I expect to be there about two hours, and I expect that when we leave the table with four of us we will have dropped around $300 - more if we order a bottle of wine.
In the first one, I really don't care if my kids are a little antsy or obnoxious - I don't have much investment in the experience for myself other than indulging them. In the second I'm making a large investment in time and money for myself which is centered around my husband and I enjoying our meal - and the kids indulging us.