The live view when the picture is taken and almost simultaneously as it goes into ...Saving is clear, then it softens (still in Pro Cam view but not live) when it is saved, but when I see the final JPEG in Camera Roll I don't see that softer image. Maybe because I've figured out the settings since I've had Pro Cam on my 810 for almost 6 weeks so I don't see that huge difference between live view, then that split second as it is being process to the final AFTER processed JPEG.
Maybe this will make more sense:
When you take the picture it's a live view and as it is saved it will say ...Saving on the upper left at that point it's still processing so the live view at that stage is still in the memory but the setting that you've introduced haven't been implemented -yet, so when you see the next image after it has been saved that's when the settings that you had it at have processed. It's kinda like paint drying when you lay it on a wall it looks one way but after it's fully cured and dry it will often look different.
Try taking a few photos in clear mid morning light with all the settings on AUTO don't take a picture when the image is in shadow, try to take it when
it's a neutral as possible I bet that the picture in live view, the spit second as it is being saved and the final JPEG are close to being the same.