I've looked through the photos. I can say without a doubt the house was a mess, but I think they've picked up on the bad points. I keep a very messy house. Very. If I spent one hour, I could have the main living area picked up and tidy, but right now, I'm in it and surrounded by food packaging, etc. If you look at her pictures, the pictures of food are way close up. I do this. It's so you can't see the mess surrounding in the kitchen. And the pictures of the kids are often on the front porch, that's because it's too messy in the house to snap a picture on the fly. I don't do the front step, I have them stand in front of the front door. The floor is always cleared there so the door can move.
I noticed in her pictures she has had a litter of kittens at some point. Also, I notice some pictures of the house from four years ago, cleaned up and cleared out. They were probably making an effort to change then. She mentioned that they were working on the house. I can imagine they have a half finished room that they slacked off on and this is probably where the trash was. And also why it was condemned. I'm guessing they weren't walking on paths, but like my house, very cluttered. Surfaces filled up. Soda cans left where they are finished, etc. It's my bedroom that gathers the crap, and I'm guessing they have a room that gathers the crap. We have trash service, but at one point when we didn't in our old place, we'd get quite the nasty stack of trash in the garage. If they have two in diapers, that's two to four cases of diapers a month, and if they don't have trash service, then yes, that would be a two foot tall pile in that room that gathers the trash until they make a dump run.
If I had it to guess, I'd say their house isn't as gross as they are saying. Cluttered and messy, but the trash itself is concentrated in a few areas, not counting the cans and tv trays that stay on the end tables until they are gathered so the utensils can be washed and used again. The hazmat suits will come out because of the diapers alone. I've seen them plenty of times on hoarders, etc. Anytime bodily fluids are involved or pets have a favorite corner, they break them out.