>it makes sense to let the users give it access to all the files on the phone
It doesn't even pretend to be a backup app, and further the permission we're talking about is limited to external storage (though that is a nebulous term on many Android devices where internal storage is split-brained on being internal and partly external).
Further saying "let the user decide" works great in theory and with a considered, rational userbase. In reality it means that everyone just says sure to everything, and soon all of the user's data is exfiltrated and everyone is whining that Google/Apple/et al should have forseen this.