Grizz

I hope I'm not coming across as critical over fine points......my mind can be a bit to analytical at times :P. "Bear" with me........(I know that was a terrible pun ::) )

The accusharp and the smiths tool operate on essentially the same basic premise. What I like about the accusharp above the Smiths are these rather slim advantages IMO.
1. The Accusharp is a bit larger and you are able to gain a solid stable foundation with it while you are dragging the blade. Your entire hand grips it instead of thumb and forefinger. Less wobble = better results
2. I believe it is likely safer. With a better purchase (grip) and a handy dandy guard I have never cut myself using it in over 10 years of use.
3. You can take the accusharp apart and rotate the carbide cutting bits thus extending the life of the sharpener three fold. (they are triangular)

Your tool is likely lighter but believe me the accusharp is plenty light. Your tool certainly occupies less space. It is superior in that respect. Use the accusharp and you will not need any "fine" tuning. 3 strokes with the thing and you are ready to rock. It does take off some material however....you can see it literally curl a shaving off your blade (you should rinse your blade BTW after sharpening as to not end up ingesting the fragments).

If you are sharpener challenged I do suggest the accusharp. An excellent choice if you are dealing with less expensive blades.