When you search using the "full site search" any results listed with a page.php reverts to the homepage when clicked on - even though the accurate link appears when hovering on the results.
 
All of the other results that have article.php or product.php links function fine.
 
So this appears to be a bug only with the page.php pages when listed in the full site search results.
 
Is there a fix for this?

The patches are found in the Announcement forums
There is patch for site search.