Short answer: Yes. It sometimes gets that crazy. My house is absolutely
more chaotic, less organized, and much
dirtier than my neighbors' houses.
Longer answer/tangent: At mealtime, I try to involve my kids (3.5 years old) as much as possible. Sometimes there is very little for them to do (I am looking for little knives that really cut but won't cut little fingers!) other than peel garlic or other vegetables, but I try to engage them in the food-making. When the meal just doesn't permit them to help, I try to set them up nearby with an activity that they can do with minimal supervision (that said, I often have to leave dinner prep while I run out and wipe up spilled paint water or the like...) -- the point is not to have them milling about aimlessly and getting bored and/or into mischief while I've got something I have to do. When they were younger, I let them empty the pots and pans cupboard or the linen drawer.
Our kids have always been TV-free, and the grownups are mostly TV-free (occasional movies after the kids are in bed, a PBS show now and again)... so I can't really compare "TV-living" with "TV-free-living" except to say that without the TV there are a lot more hours in the day, but those hours don't necessarily translate into more time for household tasks.
I often get overwhelmed by the clutter, and the filth, and the chaos... and I see how clean and neat other people's homes are and feel ashamed of our mess. But I really, really believe that what's right for our family is not to have the kids watching television/movies now, even if it means that we have sticky spots on the floor...