Imported Panels Pages don't maintain the "Title Type" setting

Go to admin/build/pages/add, fill out the necessary fields, click continue.

Pick a single column layout, click continue.

Add two custom panes to the column, one called "This is the title" and another called "not the title".

Click "Finish", and then "Save".

Now go back to the Content settings for that variant, set the Title type to be "From pane", and make sure the "This is the title" pane is selected.

Click "Update" and "Save", and check that the page we just made has the right title on the page and browser title bar.

Now, export the page to code (I won't go into detail on this) but DON'T save your code file yet. We want to delete the page first, to make sure it's gone, so we can re-import it.

Delete the panel in the Pages admin and make sure it's completely gone. Then save your exported code and see that it re-appears in the Pages admin.

Edit the panel again, go to Content, and see that "Title type" is set to "No title" and no pane is selected to set the title.

I've attached my exported Panel page, but haven't a clue where to start on a patch for this.