Is it the scratches that make up the "micro teeth"
Of course scratches are a huge factor, this has been proven time and time again with fairly simple micro-photography. More often than not, we can see those scratches and "teeth" with a simple loupe.
Until we get to using an abrasive with a grit finer than the larger carbides in the steel, the "stone" will determine the toothiness to a
very large degree.
There are exceptions, of course... D2 is a prime example of steel with very large clumps of chromium carbides, and it will remain "toothy" and uneven almost regardless of how fine an abrasive we use, unless that abrasive is notably harder and has a "grit" smaller than the carbides themselves. (very fine diamond plates or ceramic "stones"). Even at that point, we quickly come back to issues of wearing away the steel matrix itself, while leaving the carbides standing proud.
Sharpening such a steel to a very high degree of keenness is commonly referred to as "a real PITA"
In much finer-grained, low-carbide steels such as AEB-L and 52100, it's actually pretty unusual for the average person to get their hands on a sharpening "stone" with a grit that's finer than the very tight martensite structure and minimal, tiny carbides in the steel itself... so the abrasive medium has even more effect on the fine geometry of the edge (coarseness, toothiness, fineness, etc). Large carbides are simply not part of the equation, and the steel is nearly homogenous in structure, so the edge will be even more consistently determined by the abrasive used to sharpen it.
Likewise, O1 and 1095 are rightfully famous for taking a very keen, crisp edge without much work.
Even so, there will indeed be micro-teeth, inherent in the structure of the steel itself, no matter how fine a "stone" we use. But we're talking sub-micron stuff here, the intersteces of the martensite structure. These tiny imperfections to the plane of the edge rarely have any real noticeable impact on sharpness as far as we can measure, even with CATRA tests and the like.
I cannot think of a reason to
sharpen a blade parallel to the edge. I see no benefit to it at all.
While I have not attempted it, I tend to think along the lines (ho ho) of what me2 said, that it would only introduce small stress risers that would do nothing to increase performance, but rather make it more likely for the edge to chip or fall over. I also
suspect that bluntcut is right, in that it would result in more tear-out and certainly a less-refined apex.
Pull-through type sharpeners are probably not a good test for this theory, as they tend to be absolutely awful at establishing a nice even bevel. To really test the theory, I suppose one would have to sharpen parallel to edge with "normal" stones. Again... I cannot think of a reason to do so.
I
can think of reasons to
hone a blade
more nearly parallel to the edge, as with a honing steel - to refine a burr or re-align tiny rollovers and microteeth. As has been done with thin, fine-edged kitchen knives for a very long time.