The latest iOS lets you grant access to only a limited subset of photos (and I believe separates that from write access). It's still annoying enough that you'll

The latest iOS lets you grant access to only a limited subset of photos (and I believe separates that from write access). It's still annoying enough that you'll eventually grant access to everything though (i.e. the second time you use the photo picker it doesn't re-prompt for permissions, it just shows the one photo you already granted access to).