Hi David, FWIW I think you have posed an interesting question.
I just generated a 120 second long custom fabricated "stereo" test tone with Adobe Audition.
The tone had a 600Hz sine wave peaking at -6dBFS on the left and it had a 1200Hz sine wave peaking at -6dBFS on the right channel.
I imported the tone track into SONAR and placed an instantiation of Channel Tools on the track.
I placed an instance of NUGEN's Visualizer on the master bus.
I used Visualizer's Stereo Spectrum Analyzer and I used the Vector Scope.
When I brought either the right or the left halfway, or a 15 degree angle, with minimum "width" I could see the amplitude on the Stereo Spectrum Analyzer change appropriately and I could see the tilt on the vector scope.
When I left the center at the 15 degree angle and maximized the width so that the far side was at the limit I noted that the amplitude of the side being adjusted decreased by approximately 2dB, ( which was not substantially different then simply moving the L or R closer to the center a couple more degree) and there was a very slight increase in the spread on the vector scope which would indicate that there is some aspect of widening occurring with a very slight phase shift or very short delay.
Interestingly, if you adjusted the width for a spread further than 30 degrees the results seemed to mimic the effect of simply adjusting the L or R closer to its respective mate, because of course to spread the width further than 30 degree you had to move the L or R so as to get enough spread from the closer of the two side limitations.
I'd have to run some more tests before I thought that I, personally speaking, understood what was going on, but my gut feeling is that "not much" is close to an accurate description.
I would be curious to learn what others discovered, thought, knew etc.
Thank You.