So did you read what I did to my Ali? I have also dunked a Mandy like yours but it was in natural, white is a different beast. I would tell you not to expect it to come out perfect, and there is more detail on a Mandy than an Ali so it will be harder to use the refinisher on...but...it's doable. Dunking the White Ali was scarier because it definitely looked worse wet, white colors always do. I wouldn't "scrub" it with anything more rough than a wash cloth, and be careful because white dye really is paint, you don't want to risk rubbing it off. It took at least a couple of days to dry and I live in the desert.
I'm really big on dunking so I may not be the best person to give advice, so take it with a grain of salt! I think in my case it came out better because I felt like it needed to be cleaned.
The other thing to mention is the refinisher will cover the top stitching. After it was completely dry I used some conditioner on it and it gradually rubbed off with time and wear.
My Mandy is one of my favorite bags, at least partially because since it was "preburnished" I don't feel like I have to baby it. But burnished tan leathers are different from burnished white leathers. Good luck and don't hesitate to ask, at this point I think I've rehabbed about every style and color of those '06 Legacy bags.