The actual issue is that "Ultra-Processed" is EXTREMELY broad and vague.
For example, hot dogs are ultra-processed. Obviously hot dogs are not the healthiest food but also obviously "franks and beans" is a pretty good meal for a tight budget and is something you should be able to get with SNAP.
Franks and beans are not the best meal on the cheap. Sounds more expensive than cooking fresh and you're missing out on better nutrition.
For the most bang for your buck you want to be eating less expensive real protein like chicken and pork and filling up on salads. Limit carb intake from beans and other starches. Prefer fruit for carbs because it has fiber and vitamins you can't get anywhere else.