`edit: false` in an area does not apply to its nested areas

**To Reproduce**
Steps to reproduce the behavior:
1. Populate an area on a piece that's included on the piece's show page. That area should include additional nested areas (such as in a layout widget)
2. On the show page, make the parent area `edit: false` to disable editing in-context.

**Expected behavior**
The parent and child areas are not editable in-context.

**Describe the bug**
The parent is not editable in-context, but child areas are editable.

Start by reproducing the issue on a show page with a populated area containing nested areas, then trace the in-context editing behavior for the parent and its children. Done means setting edit: false on the parent prevents both the parent and all nested areas from being editable.

Written by the indexing model from the issue text.