• Ça les aura peut-être fais hésiter un peu. Et elle a pu en profiter pour les manipuler.

I thought that futur antérieur tense is equal to will have done in English and means future perfect.

But in this sentence, it does not make sense to think of this futur antérieur tense as meaning a future event, because in the next sentence a pu means a past event.

So maybe, futur antérieur tense (perhaps, when used with peut-être) is used in this example to make a guess about a past event?

• Ça les aura peut-être fait hésiter un peu. Et elle a pu en profiter pour les manipuler.

I thought that futur antérieur tense is equal to will have done in English and means future perfect.

But in this sentence, it does not make sense to think of this futur antérieur tense as meaning a future event, because in the next sentence a pu means a past event.

So maybe, futur antérieur tense (perhaps, when used with peut-être) is used in this example to make a guess about a past event?