Either I wasn't clear, or I cannot understand explanation.
I know that without Intimacy you cannot make someone do something (if it's going to bother them). So a Lunar exploited an Intimacy to convince Dawn to fight Masks. Then Sidereal both Instilled in Dawn Intimacy against this war and lowered Intimacy Lunar exploited (to the point of no existence - no Intimacy). Now Dawn have 2 options, 1 agree with Sid and spend Willpower (he have Intimacy to do this), 2 continue his war efforts (but he lacks Intimacy to do so he can't right?)
What if the Dawn don't have Willpower to make his choice? 1 require him to spend Willpower he don't have, while 2 require Intimacy he don't have.
The same goes if chain of events happen to make Dawn lose Intimacy to continue war efforts, while he don't have Intimacy not to (so he don't actually care at all) and Sid tells him to stop. Since stopping his efforts are not going to cost him anything, the Influence is valid (I think).
While Storyteller can say Dawn don't have to continue his war efforts (because he lacks Intimacy to do so, the Lunars Influence has ended), or that he can continue them (because why not), but rules are unclear for me.
Daerim, I think rules for Overturning Influence (page 221) said something else. Normally I agree, you use Willpower only in Decision Point, but in this case it is Decision Point to choose one of two affecting Influences, choosing older influence is easier (no need for Willpower) while choosing new Influence requires you to spend Willpower. Both must be supported by Intimacies. Problem is only when Dawn lacks Willpower and/or (due to some social combat) don't have relevant Intimacies anymore (but he used to have them).
While I agree that this situation will come out rarerly (or actually never) I still think of it as a hole in the rules (or I just don't understand something).
"With a few specific necromantic exceptions, it's pretty difficult to win a battle if you're dead."