Chuck.
I use one all the time, I don't think there is any advantage of making a left and right hand one, none that i can think of anyway. You can get to some pretty tight spots left and right with it the way it is.
Its not one of the bast way to remove metal while achieving a good surface finish i find, , saying that i have a piece of mystery Stainless and the finish is like glass where other types of cutters leave a rough finish on that particular stock i have .
I keep it handy and like i said i use it allot, the reason is its easy to sharpen, i just glide the diamond plate over it to lick the edges and back to work it goes, i don't even take it out of the QCTH to do it, plus its very easy to grind on the grinder.
Its worth the effort to make one.
Hope this helps....
Anthony..