I read this whole thread, ready to type something out and here it is, the last post. Thanks for basically saying what I was going to say.
My wife and I do a lot of the same things you mentioned here with our kids.
To me, it's not about "eating healthy" or "eating organic". It's about getting your kids to be active. I'm in my 40's now, and can eat a lot of different food and amounts. But I'm also really active in the gym and with ice hockey, etc. So I might eat a shit lunch, but I'm also working it off later on.
Your kids also usually only follow the example their parents set. If they see you eat like shit and lay around, guess what they want to do, or think they should do. My 4 year old wants to be out on the gym floor with me...