RAF processing with PaintShop Pro X15

How so???

This is not even highlight or shadow recovery, it's a photo that has half of it severely underexposed and half of it severely overexposed. While the result that you have, is acceptable, the decision of how to deal with those completely different areas, is pure guesswork on the part of the software if it is not chosen by the user. Really, I would not even dare to take such a picture and expect it to look like anything.