It's currently selling for $12.06 USD. Going by your numbers, cost to make = $7.00 (ADS1256) + $1.00 (other parts) + $1.10 (ADR03) + $0.12 (PCB) + $0.25 (assembly) = $9.47 USD.
Your PCB and assembly costs seem rather low. A PCB I'm currently having made which is 1/4 that size is about $0.25 in 1000s. Going to much larger quantities doesn't drop the price much. Materials cost what they do per square inch. More likely the PCB would be $0.75. Assembly for the same project I'm doing is about a buck for 15 2-pad SMD parts in 1000s. That board has way more parts. I'm dubious if anyone could assemble it for less than a buck. These two things bump up the cost to $10.85.
Neither of us are even including the cost of designing the thing.
Another thing to keep in mind is you have a bunch of different sellers selling the same boards. Somebody else is making them, then selling them wholesale to these sellers. Even going by your numbers, if the manufacturer makes them for $9.47, add a 20% margin, so they sell them to the vendors for about $11.35. The vendors would need to charge about $13.60 to get their 20% margin.
Second thing which makes me suspicious is the fact something like this isn't an item which would sell in huge quantities. It's a niche item. You don't have the advantage of economies of scale like the voltmeters, or other things, the Chinese make which they probably sell by the millions. So you're not buying parts or doing assembly in huge quantities. I'm just wondering how the heck they can sell something like this so cheaply. If someone in the US made and sold the same thing, it would probably be like $50 at least.
Either they're getting the parts for WAY less than even your prices, or they're dumping stuff on the market at less than cost.
Another thought just came to mind here. It's entirely possible they made of run of these boards for some US company which paid them handsomely for it. So they already made their money. Maybe they had a bunch extra made just in case some didn't meet spec. We did that on a project I worked on once. We needed 100 boards, but had 200 made just to account for some boards not working as they should. So the Chinese dump the leftovers on the market. They sell to AliExpress vendors at cost.
Why are the prices so much lower in Asia? Even getting the same part direct from Microchip, I'm paying $2.35 in large quantities.
EDIT: I'm seeing some vendors on AliExpress selling this chip for about a buck, even in small quantities:
Just wondering aloud if these are counterfeit chips or what the story is. I generally stick with vendors like Mouser or Digikey for any parts which are mission critical. Thankfully, none of what I do for people is super cost sensitive.