Panel page with tabs and nested tabs displays correctly for authenticated users but incorrectly for anonymous users

I do not know if this is a Panels issue, a CTools issue, a Panels Tabs issue, or something else. My best guess is Panels itself, which is why I am posting it here.

I have marked this issue as 'major' because of its severity for my site.

The environment includes:

• Drupal 7.22
• Chaos Tools 7.x-1.3
• Page Manager 7.x-1.3
• Panels 7.x-3.3
• Panels Tabs 7.x-1.x-dev (latest - 2012-Oct-26)
• Mini Panels 7.x-3.3
• Search API 7.x-1.4
• Facet API 7.x-1.3
• Views 7.x-3.7
• Views Content Panes 7.x-1.3
• Adaptive Theme AT Headliner 7.x-3.1
• AT Headliner is built on AT Core 7.x-3.1

The page architecture consists of:

• A page with a single panel
• The page, the panel, and all the panel's panes (except as noted below) are always visible to both anonymous and authenticated users
• 2 required contexts that are passed to a mini-panel pane: a search index and the logged-in user
• 2 content regions (Top and Bottom)
• The issue concerns the Top region
• Top uses the Tabs style
• Top contains 6 panes
• Panes 1 and 2 are always visible
• Panes 3 and 5 are only visible to authenticated users
• Panes 4 and 6 are only visible to anonymous users
• Pane 1 contains a views better-exposed-filters block
• Pane 2 contains a mini-panel (see below)
• The Bottom region contains a views content pane, which itself is a search index view

The mini-panel is configured as follows:

• 2 required contexts, the ones that the page's panel passes to it (search index and logged-in user)
• A single region (Main)
• Main uses the Tabs style
• Main contains 5 search facets
• Everything in the mini-panel is always visible to both anonymous and authenticated users

The only items that are cached are the panels page's panes 4 and 6, which are custom content panes. Nothing else is cached, because the page is a live search page.

The page displays correctly for authenticated users, as illustrated in these 2 screen shots:

The page displays INCORRECTLY for anonymous users. Instead of displaying tabs and nested tabs, it displays a series of corresponding anchors. Here is how this looks:

This issue exists across all devices and browsers on which it has been tested. These include Chrome, Safari, and Opera on a MacBook Pro laptop. They also include Dolphin, Opera, and WebKit on an Android 4 smartphone.

Note that the 'search index' context is required for the page (and mini-panel) to function properly. Inclusion of the 'logged-in user' context actually makes no difference to how the page displays to anonymous and authenticated users; leaving out this context yields the same results.

Below I will post an issue reply with screen shots of the page's and the mini-panel's configurations.

Let me know of any other information that I might provide.

Thanks in advance,

Bob