In photographic lighting, “UV-coated” generally means the coating reduces UV output, not increases it. Photographers sometimes prefer UV-reduced tubes or domes because UV can make optical brighteners in white fabrics fluoresce, causing an unwanted bluish cast, especially with larger studio strobes.

A clear vs. frosted dome is a separate issue: frosting mainly affects diffusion and can shift color temperature, but it is not the same as UV treatment.

Based on the answers here, ordinary photographic flash use is not generally treated as a major UV eye hazard in normal practice. The concern discussed by photographers is usually color/fluorescence effects, not blinding subjects. This is more commonly talked about with bigger studio strobes than with small hot-shoe flashes.

So, if your goal is safety and neutral color, a UV-coated tube/dome is intended to reduce UV. If your concern is eye safety in normal photographic use, these flashes are not typically regarded as dangerously UV-intensive in the way germicidal UV sources are.