Does Blue Sentinel equipped with Skyfall of Areion cause conquer effects to trigger an additional time?

Incorrect answer

No, it does not. Attaching Skyfall of Areion to Blue Sentinel adds the effect text box from the equipped gear as effect text to Blue Sentinel. So Blue Sentinel receives the effect text: 'My hold effects are also conquer effects, and vice versa.' as a passive ability. Blue Sentinels own passive ability: 'Your hold effects for holding here trigger an additional time.' is not changed by Skyfall of Areion in any way. The 2 passive abilities exist next to each other but don't change each other. Blue Sentinels triggered ability: 'When I hold, Add 1 Power at the start of your next Main Phase.', does get affected by the passive ability from Skyfall of Areion. Hold effect are also Conquer effects. Therefor if you Conquer with Blue Sentinel while Skyfall of Areion is equipped, the triggered ability will fire. But it will fire only once. This due to the wording of Blue Sentinels own passive ability. 'Your hold effects FOR HOLDING HERE trigger an additional time.' This capital part makes it so that only on Hold will triggers double, never on Conquer.