I'll do archons since I know more about them. Below is the logic I'd use to choose what an archon should do on a given commune. The general idea is to prioritize things that might save the conjurer's life before things that can wait. Also to choose wisely between healing and sanctuary in situations where one would be preferable to the other. That's probably the biggest thing archons get wrong.

The logic:

let HEAL = hp amount archon can heal in a single supp.
let MOVE = mv amount archon can heal in a single supp.

if current hp < HEAL then do heal.
if no sanctuary or barrier then do sanctuary.
if max hp - current hp >= HEAL then do heal.
if current mv < 0 then do refresh.
if not flying and not earthbound then do flight.
if curably blind then do cure blindness.
if current mv < 100 then do refresh.
if plagued/scourged then do cure disease.
if poisoned then do cure poison.
if cursed/damned then do uncurse/redemption.
if max mv - current mv >= MOVE then do refresh.
if not blessed then do bless.
if not frenzied then do frenzy.