Does using fates call interrupt/cancel passive abilities and active spells of the Oathsworn?

Kalista's ultimate Fate's call makes her Oathsworn untargetable and invisible as well as not allowing the Oathsworn to cast spells. My question is this if you use fate's call on a target using an ability that has a passive element will that passive element be disabled as well.

To be clear and to offer context I'll use rengar's ultimate as an example. He goes invisible and when he is close to an enemy champion that champion is alerted, this is passive rengar has no control other than not being in range of the target. So I wanted to know, if Kalista were to use her ultimate on rengar would enemy champions near kalista get the notification that rengar is present, if kalista pulls rengar after he goes invisible.