Usually, with correct white balance, skin will look broadly similar under tungsten and flash because both are broad-spectrum light sources. White balance compensates for the overall color cast, so the subject’s skin tone should not dramatically change just because one source is warmer or cooler.

That said, small differences can still happen because real light sources do not have identical spectral output. Tungsten and strobes may render some colors a bit differently, depending on the exact lamp or flash used.

In practice, the more noticeable difference is often not the lit skin itself, but how ambient light in the rest of the scene records—especially if flash and tungsten are mixed. Areas lit by different sources can shift in color relative to each other.

So: corrected WB generally makes skin look close to the same, but exact color rendering can vary slightly by light source. Any bigger changes in perceived imperfections are more likely due to lighting direction, softness, contrast, and mixed-light conditions than color temperature alone.