For DNA gels, colorimetric stains allow the scientist to avoid the use of UV light when imaging their samples. DNA is most frequently imaged using ethidium bromide or other intercalating dyes that fluoresce under UV light. UV light can nick and damage DNA.
For experiments that involve staining a DNA gel to identify a specific DNA band, cutting that band out of the gel, and extracting the DNA from the gel for downstream experiments such as subcloning, any DNA damage can reduce the efficiency of the downstream steps. Therefore, a non-damaging dye that avoids the use of UV light can increase the probability of success; however, visible-dye-based DNA stains are typically less sensitive than fluorescent stains.