The little arrow that indicates that the search field has a popup menu is not always drawn. More precisely, once WebKit draws a search field that has a results decoration (magnifying glass without an arrow, used for <input type="search" results="0">), it will never draw the popup arrow again. In the URL, the second search field should draw the arrow, but it does not.
Created attachment 14767 [details] Control the drawing of the arrow by setting and resetting the search menu template
Comment on attachment 14767 [details] Control the drawing of the arrow by setting and resetting the search menu template I don't think you meant to include that box-shadow-override test with this, and you seem to be missing the actual test case.
Comment on attachment 14767 [details] Control the drawing of the arrow by setting and resetting the search menu template nevermind, test was right
Landed in r21865.