Eagle,
I just recently learned that! Having said that, I did use a flat (600) diamond hone and make one to two light swipes on it face down and it did well. But the key here is "hone" the flat face edge very gently, not mill, sharpen, or grind. In fact I did this about 3 times before I figured out it was time to gently and precisely file the face back at an angle to get the cuting edge back. For the short term and for a quick edge, it works OK. For the long term, doing the face defeats and destroys usefullness of the cutter head. I just started doing as Ron showed above, with one or two hones in between. Actualy I know better as I do know and insist on the proper sharpening methods on wood chisels.
One of the keys here is to take the time to sharpen it right, square and proper. I have had a few people say that too fine an edge is inviting it to be damaged quicker. But for me I think that the sharper it can be made, even to the point that it has a mirror like gloss and razor edge, it will cut longer, smoother and quicker. This takes about twice as much time to do (for me) on such a small head, but if it works like my wood chisel sharpening, I should get 4 times more cuts. From my experience with chisels, I have learned that the more time I spend doing quality sharpening, the better results I get, the more cuts I can make.
Another factor is that sharper edges are safer. Less "catches".