Can I adjust the way push notifications are displayed on iOS?

Yes, starting with version Threema 5.1 for iOS, you can choose which information should be included in push notifications for incoming Threema messages. Depending on the option you choose, some information is shared with the operating system (OS).

The following options are available in the Threema app (in “Settings > Notifications”):

• Display Nickname: If you select this option, only the contact’s nickname will be displayed. The OS only has access to the data that is transmitted via push notification services.
• Display Name (default setting): The contact’s full name will be displayed. The OS only has access to the data that is transmitted via push notification services.
• Display Name and Profile Picture: If you select this option, both the contact’s full name and profile picture will be displayed. In addition to the data that is transmitted via push notification services, the OS has access to information about interactions with this contact. The setting “Share Interactions” will automatically be activated.

Independently of these push-notification settings, you can define whether you want to give the OS access to information about interactions or not, see this FAQ entry.