Not just about impact. Supporters minus "cups" are common, the right size and brand - provides support, breathability and comfort. Supporters with a larger waist-band prevent chaffing from outer layer of clothing. Newer styles by traditional manufacturers offering modern fabrics are useless. Compression shorts don't offer the same level of support - but their moisture wicking fabric is warranted an honorable mention.
Try different options - just like a dress shirt that hasn't been tailored, garments fit people differently and the objective function and comfort - and that differs from person to person.