It seems that a lot of guys do it because they feel that they spent all this money on a front wheel & then it's partially blocked by a brake set up. It's a pretty common thing on bikes with aftermarket wheels. The right side is removed because when a bike is parked, it leans to the left side on the kick stand giving you a great view of the wheel from the right side.
It may be a great idea to upgrade your brakes when doing this.
When people say that you don't lose any braking I think they're partially right. You probably won't notice it when you initially test it cause you're really not taxing the brakes but if your carving up some back roads or trying to stop quickly at speed your brakes may start to develop fade quicker because there isn't another caliper & rotor to assist the other side. This is, of course, meant for stock brakes.

 

yes you are 100% correct I shaved my right caliper when I installed a set of 16" aftermarket wheels. I wanted 16" wheels because I travel a lot and knew I could find a tire at any dealer if I ever had a flat on the road. But the right side rotor covered up most of the wheel, so I shaved the mounts before I had my lower legs chromed. I can tell you I have ridden the Cherahola Skyway, Dragon, Blue Ridge parkway end-to-end a couple times, up and down Mt. Washington, and countless other twisty roads from Maine to Georgia with this setup. I ride agressively on twisty roads. I have never experienced one issue with front braking with this setup, and I feel like I could do stoppies if I tried hard enough. Some people feel compelled to give opinions on what they THINK even tho they actually have no EXPERIENCE with the setup... I just don't get it and it aggravates me a little sometimes, but thats all part of the glorious internet I guess.

 

just do it