I am having the same issue. It stores it relative to the URL of the website, however even if that is correct, it is broken in this if statement:
$local_avatars = get_user_meta( $user_id, 'simple_local_avatar', true );
if ( empty( $local_avatars['full'] ) )
return $avatar;
but the “full” array is obviously not empty:
a:8:{s:4:"full";s:87:"https://techgroove.net/blog/wp-content/uploads/2013/08/Brandon-White_avatar_1376883306.jpg";i:64;s:93:"https://techgroove.net/blog/wp-content/uploads/2013/08/Brandon-White_avatar_1376883306-64x64.jpg";i:16;s:93:"https://techgroove.net/blog/wp-content/uploads/2013/08/Brandon-White_avatar_1376883306-16x16.jpg";i:96;s:93:"https://techgroove.net/blog/wp-content/uploads/2013/08/Brandon-White_avatar_1376883306-96x96.jpg";i:32;s:93:"https://techgroove.net/blog/wp-content/uploads/2013/08/Brandon-White_avatar_1376883306-32x32.jpg";i:74;s:93:"https://techgroove.net/blog/wp-content/uploads/2013/08/Brandon-White_avatar_1376883306-74x74.jpg";i:24;s:93:"https://techgroove.net/blog/wp-content/uploads/2013/08/Brandon-White_avatar_1376883306-24x24.jpg";i:18;s:93:"https://techgroove.net/blog/wp-content/uploads/2013/08/Brandon-White_avatar_1376883306-18x18.jpg";}