The wording for untyped bonuses should have read "an untyped bonus has the type of the game element in which it is defined. So if a feature 'Warlord's Spirit' grants an untyped +3 bonus to AC, then the type of that bonus is 'Warlord's Spirit' for the purpose of bonus stacking".
That handles corner cases better than the wording they provided us for untyped bonuses.