Is there an effect of lower eyelid fat repositioning for dark circles under the eyes?

Your under-eye area is dark, so your complexion doesn't look very healthy.
Even when I'm not very tired, my under-eye area looks dark, so people ask if I'm tired.
There are also wrinkles under the eyes, which make me look older.

Will eyelid fat repositioning improve the under-eye groove and also resolve dark circles?
How long do swelling and bruising typically last after lower eyelid fat repositioning?
I'm also curious if the pain isn't severe.