Permissions for third party apps are pretty much identical to iOS now. People are always brigading these HN posts with useless snark because they think that Apple respects them.
Nevertheless, there's a massive amount of tracking going on in Apples ecosystem as well - all big analytics, marketing and mobile data services (like Facebooks's SDKs, Mixpanel, etc.) are iOS first and still provide massive amount of behavioural data on iOS users first and support Android second.
Regaring the permission managers, I agree that both are currently on par.