If you have The Who coming out of your guitar, I don't think changing the pickups will help that.
And you may also be infringing on copyright laws.
But seriously, on a humbucker the only real difference is that in single coil operation, the working coil is now located on the other side. Unless you have a Dimarzio "dual resonance" patented pickup, then you may notice other differences. For example if one coil is bassier than the other, if you flip it you just put the bassier coil in the other position. That will change the tone. I just flipped my Megadrive (in the neck position, its pretty great
) around because one coil reads around 11k while the other coil reads around 4.5k I had the hotter coil with the bar magnet closer to the bridge, and I knew right away it wasn't right. Now it's closer to the neck and the magic is back! By the way, on that guitar I can select either of the coils in single coil mode, so it's even more important that the right sounding coil is in the right location.
In a chrome covered pickup the physical location of the screw poles is higher on the side they come through the cover, so that coil is "louder." So if you flip that you'd notice a difference, too.
Single coils usually have staggered magnets to compensate for varying string volume, and so then flipping those makes certain strings louder than others, disproportionately. Some say that's part of the secret to Hendrix' sound, that he had the strings going the opposite direction across standard pickups, and that lefty singles in your righty guitar would recreate that.