Archmasters possess superhuman capabilities of both foresight and scheming, have immense supernatural powers, and are always on the lookout for aspirants. The Pax Arcanum forbids interfering with another's claimed interests, and forbids claiming a new interest in a way that would interfere with another's already-claimed interests.
Given the degree to which everything is interconnected, it is no exaggeration to say that any aspirant succeeding at Threshold Seeking will interfere with many of the existing Archmasters' claimed interests, more likely sooner rather than later, and many Archmasters know it long in advance.
If so, how come old Archmasters do not prevent such interference by preventing Second Awakenings?
The only thing capable of protecting an aspirant seems to be an interest claim by an existing Archmaster . . . but making such a claim seems to be a breach of the Pax Arcanum based on the reasoning above. Is there a way to reconcile all of the above observations, or do I have a flaw in my reasoning or understanding somewhere?
(I'm researching Imperial Mysteries specifically as an inspiration for certain aspects of worldbuilding; my overall knowledge of Chronicles of Darkness is rather spotty, so I suspect that there's a good chance that I'm just missing or misunderstanding something of the above.)