You aren't being logical.
Poor people use food stamps....
Dems are the vast majority of poor people...
Hence - Dems are much more likely to use food stamps..
This is borne out by the Pew Studies...
In Red States, no matter what the states' voting proclivity - this remains the case.
And if you factor in demographics, it most certainly would be the case.
As I said, GOP voters are as likely to support continued welfare programs as Dems...wonder why NOT ONE GOP member ever came out against welfare... because they are hypocrites and know that one key to winning the South is lying to the poor:
Although the poverty rate is higher in districts represented by Democrats, most poor people in the United States live in a community represented by a Republican. Taken together, the poverty rate in districts represented by Democrats in 2016 (“blue” districts) was 17.1 percent in 2010-14 compared with 14.4 percent in those represented by Republicans (“red” districts). But Republican districts have more poor residents overall: 25.1 million poor people lived in red districts in 2010-14 compared with 22.7 million in blue districts.
Eighteen of the 19 poorest states have legislatures where both chambers are Republican controlled.
Conventional wisdom has long proclaimed Republicans the party of the rich and Democrats the party of the poor! Forty years ago that was largely true. The poor almost everywhere elected Democrats. That is how most media portray it now.
But media are almost solely big-city based, where the conventional wisdom remains true. Democrats are the party of the urban poor – from Boston to Los Angeles. But at the grassroots level, overall, it isn’t so. Republicans, overall, own America’s low-to-no income vote. Media simply don’t report what they don’t live in and see.
At all income levels, independents (and people who say they don't know) outnumber people who identify themselves as either Democrats or Republicans. Also notable is the decline of Republicans among top earners.