No idea of the mechanisms involved, but I've been glycerine washing for around a year using glycerine that hasn't been used for water washing and no other drying of the oil (most oil is pretty good quality).
I've not done any calculations on yield, but I just use a base weight of catalyst and volume of methanol, no other tests or checks except a 3/27 test after the second stage which 9 times out of 10 is fine. These days I look for the least hassle in making bio and, what ever the reason, glycerine washing seems to give me that well done HC for coming up with the idea. (what's happened to HC, not seen him post on either forum for some time now).