Priority lotting (ie: Garrison tokens providers for their garrison runs) should take place before any other type of lotting.
With the exception of rare/ex items, nothing is consider to have entered the common loot pool until after priority lotting is done.
If non-rare/ex-items autolooted before priorty lotting, the priority lotter should be allowed to ask for those items.
As a cavaet to this, if priorty lotting takes too long, non-rare/ex-items already autolooted may need to be put up to a /random.
Autoloot does not start till after the priority lotter finishes. Everything obtained beforehand is still considered to be in the common loot pool.
I guess a simplier way of saying this is that autoloot does not start until after the priority lotter has finished. Everything autolooted before then is still in the common loot pool; and may need to be re-randomed.
Yes, I know this is clunky. And hopefully these situations will be rare, but it is in the spirit of common law.