You are not allowed to edit this post.

These are the permissions that the user group has:

add_role( 'analyst', __('Analyst' ),
array(
'read' => true, // true allows this capability
'edit_posts' => true, // Allows user to edit their own posts
'edit_pages' => false, // Allows user to edit pages
'edit_other_posts' => true,
'edit_others_posts' => true, // Allows user to edit others posts not just their own
'create_posts' => false, // Allows user to create new posts
'manage_categories' => false, // Allows user to manage post categories
'publish_posts' => true, // Allows the user to publish, otherwise posts stays in draft mode
'edit_themes' => false, // false denies this capability. User can’t edit your theme
'install_plugins' => false, // User cant add new plugins
'update_plugin' => false, // User can’t update any plugins
'update_core' => false,
'upload_files' => true // user cant perform core updates
)
);

I am running into this issue as well. But my users are never logged in, they are always a guest but they need to be able to edit their data at a later time. My scenario is that they fill out a form to be accepted into a conference. If they are accepted, we send them a link to the second form that asks a few more questions. The system works well for me, as I am the admin, but for anyone else, they get the error on the second form stating they are not allowed to edit the post. We are not going to have the people register in WordPress, all they are doing is filling out 2 forms that are both attached to the same post_id. There used to be a way to pass access='guest' on the shortcode to allow anyone to edit, did you remove that ability?

Thanks,
Jim