1SE only asks for what a given feature needs, and the two platforms ask for different things. Each one is asked for the first time you use the feature that needs it, not up front.
On iOS
Photos — so you can pull videos, Live Photos and photos into your projects.
Camera — only if you record straight into 1SE rather than importing.
Microphone — to capture sound with the in-app camera.
Location — optional, so a clip can carry where you were.
Media & Apple Music — to add tracks from your own music library.
Contacts — only if you use a Freestyle Collab project, to find people you already know on 1SE.
On Android
Photos and videos — to choose the media a snippet is cut from. Android lets you grant access to selected items instead of your whole library.
Notifications — for your daily reminder, and to tell you when a backup finishes.
Network access — to back up to 1SE Cloud and to receive those notifications.
Two background permissions you will never be prompted for: keeping the phone awake and resuming after a restart, both so a long backup can finish on its own.
Two things 1SE does not ask for on Android: camera access, because recording hands off to your phone's own camera app, and location — location is added by hand on Android.