You wouldn't get a different sound,but the "feel" of the amp would change...At the lower impedence setting you might also sense that the amp is tighter and has more headroom and power,but again,it depends on the amp,the transformer,speakers etc...It's not just 1 single thing that matters,but everything in the equation...I've tryed running my old Marshall head at the 4 ohm load and it doesn't act right until I go back to the 16 ohm settings...My Fender 2x12 combo needs to see a 4ohm load or I get the same scenario...You also have to figure in the difference the negative feedback circuit plays into the "feel" of the amp..As you change the impedences,you also change the way the feedback circuit of the amp works...
Please don't ask me to explain "feedback:as it's a pretty drawn out and boring subject...LOL