There seem to be a bug in edit mode UI. If you select the all properties view and then switch to another page then the on-page edit view is shown.
You can reproduce this with Alloy MVC and latest NuGet packages
This has been reported to Episerver support.
No update so far, it has been reported internally as a bug but I have no public bug ID for it.
Now there is a public bug to track this issue: https://world.episerver.com/support/bug-list/bug/CMS-15171
Episerver update 302 contains the fix for this bug.