I am about to submit an app to the Apple AppStore built in Swift that uses Crashlytics to capture crash information. As users of Crashlytics know, some information about us
Vinny, I think it's not mandatory (I've seen apps using Crashlytics wihtout a privacy policy), but it's recommended to have transparency in the communications with your users.
Crashlytics already has a privacy policy so you can just use that policy and add a statement informing that you are not collecting any sensitive information from the user, such as email or phone number.