raw doesn't solve two light sources indoors. Your colors will never be right. You need to gel your flash
But once you gel your flash correctly, you only have a single light color, so that doesn't apply. With raw and light sources of multiple colors, you can at least make sure that the white balance for the key subject is right - if you really want to take it to extremes, you can even create multiple images from the same raw file, each corrected for a different light source in post processing and then combine the images. But that it difficult.
What is terrible is when you subject's face is lit by two or more light sources of difference temperatures. There is not much that can be done about that.