My kids were raised both in LA and Paris/France. I have never taken them out to fine dining in any of those places or other cities that we would be at. Reasons:

1- Such restaurants are for adult enjoyment. There are many people who save to go and have a nice quiet adult dinner, I would't want to disappoint them by have my "very well mannered" kids there.

2-Kids IMO should know that there are adult times and family times. And need to differentiate them. They can't go anywhere, there are places that they can't go to.

3-Setting limits now helps when they grow up.

4-Table manner should not only be at restaurants but should be everywhere even at home or chuck cheese.

But everyone raises their kids differently, and I won't be seeing your kids since I don't go eat at an early hour.