The use of brisket that had been BBQ'd for a 'Bowl of Red' would be regarded as sacrilege in Texas!
The dish has its origins in Chile con Carne, most famously from the Chili Queens of San Antonio, who used only meat and peppers.
Some traditionalists even regard the addition of onions, tomatoes or beans as anathema
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The Chili Queens would cook in the market square in big cauldrons which they used to do laundry during the day time before cooking chili in the evening. Maybe this is the 'secret' ingredient!