So what grinds both sides at once?
Well, technically not a grinding process, but skiving is the only method I can think of that will remove material on both sides at once. The point I was trying to make is that a burr will always be present, not that grinding one side at a time is inherently a bad process.
Think about it for a minute. The knives we typically use for every day cutting have a curved edge ("belly") so that we don't have to hold the blade parallel to the work surface while cutting. I'm going to ignore straight-bladed slicing knives for the moment here.
To sharpen with an electric grinder requires moving the blade at a uniform, constant speed, and moving the blade as it goes through the grinder to follow the belly of the knife. The blade should be moving as it first enters the grinder to avoid over-grinding the heel area of the knife (area #2). Some knifes have a heel (#1) that interferes with the sharpener.
The most used area of a knife is area #3. You can see that the cutting angle changes in this area because the person sharpening the blade (me) was not adept at following the curve and maintaining the drawing speed as the knife passed through the grinder. Blade geometry has been changed from the belly of the knife all the way out to the tip (#4), the tip has been blunted, from years of electric grinding.
This is one of our slicing knives after years of electric grinding. I think I threw the other one away, the one that I used and sharpened most often. Here you can see that not maintaining a consistent speed through the grinder is creating a curved blade at the end of the blade.
Mistakes are made quickly and mistakes accumulate over time with electric grinders.