We are a family of 5 (kids are 17,14 and 10) and budget usually around $2000 for 7 nights/8 days ($250 per day). We eat most breakfasts in our room and make PS's for all of our dinners and usually 2 character breakfasts. We also bring sandwich fixings and snacks for afternoon breaks back at the resort. When you add it up, LOL...it really seems crazy....but without the sit-down restaurants, we would definitely go CRAZY. I can only do counter-service food so long and I get cranky. Also, the restaurants aren't just food, they are part of the entertainment for us.
Our first trip really changed our mind about the 'value' of WDW food. To feed the family counter service dinner, the cost would be around $50-65. We had to wait in long lines, in the heat or rain to get a burger or chicken fingers meal. Then we would have to try to find a clean table for all of us. After doing this for a few days, we ended up trying Mama Melroses for dinner (luckily they had a table available). Taken to a clean table, out of the elements, more food options, nice atmosphere and our food was brought to us ...for about $120. Yes, double the price but worth at least triple, in our opinions.
The way we see it, we will gladly pay $100- 200 for a nice, relaxing dinner, but we refuse to pay 60 bucks for greasy fast food that we have to carry to a table (if we are lucky enough to find one). So, it is an important part of our budget.
If that makes me a 'restaurant snob', so be it....it's just my 2 cents (LOL, or should I say, MY $2000)