Don't you think this would save some fuel by flying a visual approach in lieu of executing an instrument approach in VMC conditions
No. If the company were really trying to save fuel there are other ways that are less threatening. i.e. putting pressure on ATC/CAD to expedite arrivals and get rid of the ridiculous speed and height restraints into HKG and other airports. What is the point of doing a visual approach into LAX when ATC have vectored you half way across California. Visual approaches are good for ATC because they are then absolved of maintaining separation from other a/c.