America's poor use EBT/food stamps to buy massive amounts of junk food, including billions on soda. Those same people are almost 100% on ACA or state health insurance plans and milking the tax payer on treatment for obesity, diabetes, and cardiovascular disease. There is no way, in my mind, it is feasible to fund these lifestyles and provide the treatment for it. Its absolutely insane.
Do they? Food stamps in most states have restrictions on what you can buy with them. My impression is soda is not on the list. Of course this is (mostly?) the states and every state has different rules so you probably need to cite 50 different state rules to verify this and thus an exception state is likely.